3(t-4)=-2(t+3)+14

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Solution for 3(t-4)=-2(t+3)+14 equation: 


Simplifying
3(t + -4) = -2(t + 3) + 14

Reorder the terms:
3(-4 + t) = -2(t + 3) + 14
(-4 * 3 + t * 3) = -2(t + 3) + 14
(-12 + 3t) = -2(t + 3) + 14

Reorder the terms:
-12 + 3t = -2(3 + t) + 14
-12 + 3t = (3 * -2 + t * -2) + 14
-12 + 3t = (-6 + -2t) + 14

Reorder the terms:
-12 + 3t = -6 + 14 + -2t

Combine like terms: -6 + 14 = 8
-12 + 3t = 8 + -2t

Solving
-12 + 3t = 8 + -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.
-12 + 3t + 2t = 8 + -2t + 2t

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

Combine like terms: -2t + 2t = 0
-12 + 5t = 8 + 0
-12 + 5t = 8

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

Combine like terms: -12 + 12 = 0
0 + 5t = 8 + 12
5t = 8 + 12

Combine like terms: 8 + 12 = 20
5t = 20

Divide each side by '5'.
t = 4

Simplifying
t = 4

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