2(t+1)=3t-7

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Solution for 2(t+1)=3t-7 equation: 


Simplifying
2(t + 1) = 3t + -7

Reorder the terms:
2(1 + t) = 3t + -7
(1 * 2 + t * 2) = 3t + -7
(2 + 2t) = 3t + -7

Reorder the terms:
2 + 2t = -7 + 3t

Solving
2 + 2t = -7 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
2 + 2t + -3t = -7 + 3t + -3t

Combine like terms: 2t + -3t = -1t
2 + -1t = -7 + 3t + -3t

Combine like terms: 3t + -3t = 0
2 + -1t = -7 + 0
2 + -1t = -7

Add '-2' to each side of the equation.
2 + -2 + -1t = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = -7 + -2
-1t = -7 + -2

Combine like terms: -7 + -2 = -9
-1t = -9

Divide each side by '-1'.
t = 9

Simplifying
t = 9

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