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

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


Simplifying
2t + -3(4 + -1t) = t + -8
2t + (4 * -3 + -1t * -3) = t + -8
2t + (-12 + 3t) = t + -8

Reorder the terms:
-12 + 2t + 3t = t + -8

Combine like terms: 2t + 3t = 5t
-12 + 5t = t + -8

Reorder the terms:
-12 + 5t = -8 + t

Solving
-12 + 5t = -8 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-12 + 5t + -1t = -8 + t + -1t

Combine like terms: 5t + -1t = 4t
-12 + 4t = -8 + t + -1t

Combine like terms: t + -1t = 0
-12 + 4t = -8 + 0
-12 + 4t = -8

Add '12' to each side of the equation.
-12 + 12 + 4t = -8 + 12

Combine like terms: -12 + 12 = 0
0 + 4t = -8 + 12
4t = -8 + 12

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

Divide each side by '4'.
t = 1

Simplifying
t = 1

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