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 = 20
-12 + 3t = 20 + 2t

Solving
-12 + 3t = 20 + 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 = 20 + 2t + -2t

Combine like terms: 3t + -2t = 1t
-12 + 1t = 20 + 2t + -2t

Combine like terms: 2t + -2t = 0
-12 + 1t = 20 + 0
-12 + 1t = 20

Add '12' to each side of the equation.
-12 + 12 + 1t = 20 + 12

Combine like terms: -12 + 12 = 0
0 + 1t = 20 + 12
1t = 20 + 12

Combine like terms: 20 + 12 = 32
1t = 32

Divide each side by '1'.
t = 32

Simplifying
t = 32

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