4(t-2)=-3(2t+6)

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Solution for 4(t-2)=-3(2t+6) equation: 


Simplifying
4(t + -2) = -3(2t + 6)

Reorder the terms:
4(-2 + t) = -3(2t + 6)
(-2 * 4 + t * 4) = -3(2t + 6)
(-8 + 4t) = -3(2t + 6)

Reorder the terms:
-8 + 4t = -3(6 + 2t)
-8 + 4t = (6 * -3 + 2t * -3)
-8 + 4t = (-18 + -6t)

Solving
-8 + 4t = -18 + -6t

Solving for variable 't'.

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

Add '6t' to each side of the equation.
-8 + 4t + 6t = -18 + -6t + 6t

Combine like terms: 4t + 6t = 10t
-8 + 10t = -18 + -6t + 6t

Combine like terms: -6t + 6t = 0
-8 + 10t = -18 + 0
-8 + 10t = -18

Add '8' to each side of the equation.
-8 + 8 + 10t = -18 + 8

Combine like terms: -8 + 8 = 0
0 + 10t = -18 + 8
10t = -18 + 8

Combine like terms: -18 + 8 = -10
10t = -10

Divide each side by '10'.
t = -1

Simplifying
t = -1

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