7-3(2t-8)=1-6(2t+3)

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Solution for 7-3(2t-8)=1-6(2t+3) equation: 


Simplifying
7 + -3(2t + -8) = 1 + -6(2t + 3)

Reorder the terms:
7 + -3(-8 + 2t) = 1 + -6(2t + 3)
7 + (-8 * -3 + 2t * -3) = 1 + -6(2t + 3)
7 + (24 + -6t) = 1 + -6(2t + 3)

Combine like terms: 7 + 24 = 31
31 + -6t = 1 + -6(2t + 3)

Reorder the terms:
31 + -6t = 1 + -6(3 + 2t)
31 + -6t = 1 + (3 * -6 + 2t * -6)
31 + -6t = 1 + (-18 + -12t)

Combine like terms: 1 + -18 = -17
31 + -6t = -17 + -12t

Solving
31 + -6t = -17 + -12t

Solving for variable 't'.

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

Add '12t' to each side of the equation.
31 + -6t + 12t = -17 + -12t + 12t

Combine like terms: -6t + 12t = 6t
31 + 6t = -17 + -12t + 12t

Combine like terms: -12t + 12t = 0
31 + 6t = -17 + 0
31 + 6t = -17

Add '-31' to each side of the equation.
31 + -31 + 6t = -17 + -31

Combine like terms: 31 + -31 = 0
0 + 6t = -17 + -31
6t = -17 + -31

Combine like terms: -17 + -31 = -48
6t = -48

Divide each side by '6'.
t = -8

Simplifying
t = -8

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