5(2m+3)-1(1-2m)=2[3(3+2m)-(3-m)]

Can you solve for the variable m?
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Simplifying

5(2m + 3) + -1(1 + -2m) = 2[3(3 + 2m) + -1(3 + -1m)]

Reorder the terms:

5(3 + 2m) + -1(1 + -2m) = 2[3(3 + 2m) + -1(3 + -1m)]

(3 * 5 + 2m * 5) + -1(1 + -2m) = 2[3(3 + 2m) + -1(3 + -1m)]

(15 + 10m) + -1(1 + -2m) = 2[3(3 + 2m) + -1(3 + -1m)]

15 + 10m + (1 * -1 + -2m * -1) = 2[3(3 + 2m) + -1(3 + -1m)]

15 + 10m + (-1 + 2m) = 2[3(3 + 2m) + -1(3 + -1m)]

Reorder the terms:

15 + -1 + 10m + 2m = 2[3(3 + 2m) + -1(3 + -1m)]

Combine like terms: 15 + -1 = 14

14 + 10m + 2m = 2[3(3 + 2m) + -1(3 + -1m)]

Combine like terms: 10m + 2m = 12m

14 + 12m = 2[3(3 + 2m) + -1(3 + -1m)]

14 + 12m = 2[(3 * 3 + 2m * 3) + -1(3 + -1m)]

14 + 12m = 2[(9 + 6m) + -1(3 + -1m)]

14 + 12m = 2[9 + 6m + (3 * -1 + -1m * -1)]

14 + 12m = 2[9 + 6m + (-3 + 1m)]

Reorder the terms:

14 + 12m = 2[9 + -3 + 6m + 1m]

Combine like terms: 9 + -3 = 6

14 + 12m = 2[6 + 6m + 1m]

Combine like terms: 6m + 1m = 7m

14 + 12m = 2[6 + 7m]

14 + 12m = [6 * 2 + 7m * 2]

14 + 12m = [12 + 14m]

Solving

14 + 12m = 12 + 14m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-14m' to each side of the equation.

14 + 12m + -14m = 12 + 14m + -14m

Combine like terms: 12m + -14m = -2m

14 + -2m = 12 + 14m + -14m

Combine like terms: 14m + -14m = 0

14 + -2m = 12 + 0

14 + -2m = 12

Add '-14' to each side of the equation.

14 + -14 + -2m = 12 + -14

Combine like terms: 14 + -14 = 0

0 + -2m = 12 + -14

-2m = 12 + -14

Combine like terms: 12 + -14 = -2

-2m = -2

Divide each side by '-2'.

m = 1

Simplifying

m = 1

Step-by-step explanation:

hope it help you

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.