Solve for t.
Give an exact answer.
3t – 18 = 41-3
3
-t
4

t = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

3t - 18 = 4(-3 - 3/4t)

Step 2: Solve for t

Distribute 4:                              3t - 18 = -12 - 3tAdd 3t to both sides:               6t - 18 = -12Add 18 to both sides:               6t = 6Divide 6 on both sides:            t = 1

Step 3: Check

Plug in t into the original equation to verify it's a solution.

Substitute in t:                    3(1) - 18 = 4(-3 - 3/4(1))Multiply:                              3 - 18 = 4(-3 - 3/4)Subtract:                             -15 = 4(-15/4)Multiply:                              -15 = -15

Here we see that -15 does indeed equal -15.

∴ t = 1 is a solution of the equation.

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