4-3(t-8)=2t-7

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Solution for 4-3(t-8)=2t-7 equation: 


Simplifying
4 + -3(t + -8) = 2t + -7

Reorder the terms:
4 + -3(-8 + t) = 2t + -7
4 + (-8 * -3 + t * -3) = 2t + -7
4 + (24 + -3t) = 2t + -7

Combine like terms: 4 + 24 = 28
28 + -3t = 2t + -7

Reorder the terms:
28 + -3t = -7 + 2t

Solving
28 + -3t = -7 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
28 + -3t + -2t = -7 + 2t + -2t

Combine like terms: -3t + -2t = -5t
28 + -5t = -7 + 2t + -2t

Combine like terms: 2t + -2t = 0
28 + -5t = -7 + 0
28 + -5t = -7

Add '-28' to each side of the equation.
28 + -28 + -5t = -7 + -28

Combine like terms: 28 + -28 = 0
0 + -5t = -7 + -28
-5t = -7 + -28

Combine like terms: -7 + -28 = -35
-5t = -35

Divide each side by '-5'.
t = 7

Simplifying
t = 7

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