3(t+2)-(3t-3)=2(3t-4)-13

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Solution for 3(t+2)-(3t-3)=2(3t-4)-13 equation:


Simplifying
3(t + 2) + -1(3t + -3) = 2(3t + -4) + -13

Reorder the terms:
3(2 + t) + -1(3t + -3) = 2(3t + -4) + -13
(2 * 3 + t * 3) + -1(3t + -3) = 2(3t + -4) + -13
(6 + 3t) + -1(3t + -3) = 2(3t + -4) + -13

Reorder the terms:
6 + 3t + -1(-3 + 3t) = 2(3t + -4) + -13
6 + 3t + (-3 * -1 + 3t * -1) = 2(3t + -4) + -13
6 + 3t + (3 + -3t) = 2(3t + -4) + -13

Reorder the terms:
6 + 3 + 3t + -3t = 2(3t + -4) + -13

Combine like terms: 6 + 3 = 9
9 + 3t + -3t = 2(3t + -4) + -13

Combine like terms: 3t + -3t = 0
9 + 0 = 2(3t + -4) + -13
9 = 2(3t + -4) + -13

Reorder the terms:
9 = 2(-4 + 3t) + -13
9 = (-4 * 2 + 3t * 2) + -13
9 = (-8 + 6t) + -13

Reorder the terms:
9 = -8 + -13 + 6t

Combine like terms: -8 + -13 = -21
9 = -21 + 6t

Solving
9 = -21 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
9 + -6t = -21 + 6t + -6t

Combine like terms: 6t + -6t = 0
9 + -6t = -21 + 0
9 + -6t = -21

Add '-9' to each side of the equation.
9 + -9 + -6t = -21 + -9

Combine like terms: 9 + -9 = 0
0 + -6t = -21 + -9
-6t = -21 + -9

Combine like terms: -21 + -9 = -30
-6t = -30

Divide each side by '-6'.
t = 5

Simplifying
t = 5

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