3(-6t+4)=-5t+2(t-9)

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Solution for 3(-6t+4)=-5t+2(t-9) equation: 


Simplifying
3(-6t + 4) = -5t + 2(t + -9)

Reorder the terms:
3(4 + -6t) = -5t + 2(t + -9)
(4 * 3 + -6t * 3) = -5t + 2(t + -9)
(12 + -18t) = -5t + 2(t + -9)

Reorder the terms:
12 + -18t = -5t + 2(-9 + t)
12 + -18t = -5t + (-9 * 2 + t * 2)
12 + -18t = -5t + (-18 + 2t)

Reorder the terms:
12 + -18t = -18 + -5t + 2t

Combine like terms: -5t + 2t = -3t
12 + -18t = -18 + -3t

Solving
12 + -18t = -18 + -3t

Solving for variable 't'.

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

Add '3t' to each side of the equation.
12 + -18t + 3t = -18 + -3t + 3t

Combine like terms: -18t + 3t = -15t
12 + -15t = -18 + -3t + 3t

Combine like terms: -3t + 3t = 0
12 + -15t = -18 + 0
12 + -15t = -18

Add '-12' to each side of the equation.
12 + -12 + -15t = -18 + -12

Combine like terms: 12 + -12 = 0
0 + -15t = -18 + -12
-15t = -18 + -12

Combine like terms: -18 + -12 = -30
-15t = -30

Divide each side by '-15'.
t = 2

Simplifying
t = 2

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