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

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


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

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

Reorder the terms:
12 + -4t = 5(4 + -2t)
12 + -4t = (4 * 5 + -2t * 5)
12 + -4t = (20 + -10t)

Solving
12 + -4t = 20 + -10t

Solving for variable 't'.

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

Add '10t' to each side of the equation.
12 + -4t + 10t = 20 + -10t + 10t

Combine like terms: -4t + 10t = 6t
12 + 6t = 20 + -10t + 10t

Combine like terms: -10t + 10t = 0
12 + 6t = 20 + 0
12 + 6t = 20

Add '-12' to each side of the equation.
12 + -12 + 6t = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 6t = 20 + -12
6t = 20 + -12

Combine like terms: 20 + -12 = 8
6t = 8

Divide each side by '6'.
t = 1.333333333

Simplifying
t = 1.333333333

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