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

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


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

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

Combine like terms: 13 + -2 = 11
11 + -2t = 2(t + 2) + 3t

Reorder the terms:
11 + -2t = 2(2 + t) + 3t
11 + -2t = (2 * 2 + t * 2) + 3t
11 + -2t = (4 + 2t) + 3t

Combine like terms: 2t + 3t = 5t
11 + -2t = 4 + 5t

Solving
11 + -2t = 4 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
11 + -2t + -5t = 4 + 5t + -5t

Combine like terms: -2t + -5t = -7t
11 + -7t = 4 + 5t + -5t

Combine like terms: 5t + -5t = 0
11 + -7t = 4 + 0
11 + -7t = 4

Add '-11' to each side of the equation.
11 + -11 + -7t = 4 + -11

Combine like terms: 11 + -11 = 0
0 + -7t = 4 + -11
-7t = 4 + -11

Combine like terms: 4 + -11 = -7
-7t = -7

Divide each side by '-7'.
t = 1

Simplifying
t = 1

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