3(1-t)+5=3(1+t)-7

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Solution for 3(1-t)+5=3(1+t)-7 equation: 


Simplifying
3(1 + -1t) + 5 = 3(1 + t) + -7
(1 * 3 + -1t * 3) + 5 = 3(1 + t) + -7
(3 + -3t) + 5 = 3(1 + t) + -7

Reorder the terms:
3 + 5 + -3t = 3(1 + t) + -7

Combine like terms: 3 + 5 = 8
8 + -3t = 3(1 + t) + -7
8 + -3t = (1 * 3 + t * 3) + -7
8 + -3t = (3 + 3t) + -7

Reorder the terms:
8 + -3t = 3 + -7 + 3t

Combine like terms: 3 + -7 = -4
8 + -3t = -4 + 3t

Solving
8 + -3t = -4 + 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.
8 + -3t + -3t = -4 + 3t + -3t

Combine like terms: -3t + -3t = -6t
8 + -6t = -4 + 3t + -3t

Combine like terms: 3t + -3t = 0
8 + -6t = -4 + 0
8 + -6t = -4

Add '-8' to each side of the equation.
8 + -8 + -6t = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -6t = -4 + -8
-6t = -4 + -8

Combine like terms: -4 + -8 = -12
-6t = -12

Divide each side by '-6'.
t = 2

Simplifying
t = 2

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