12(5+3t-4)=8(-2t+11)

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Solution for 12(5+3t-4)=8(-2t+11) equation:


Simplifying
12(5 + 3t + -4) = 8(-2t + 11)

Reorder the terms:
12(5 + -4 + 3t) = 8(-2t + 11)

Combine like terms: 5 + -4 = 1
12(1 + 3t) = 8(-2t + 11)
(1 * 12 + 3t * 12) = 8(-2t + 11)
(12 + 36t) = 8(-2t + 11)

Reorder the terms:
12 + 36t = 8(11 + -2t)
12 + 36t = (11 * 8 + -2t * 8)
12 + 36t = (88 + -16t)

Solving
12 + 36t = 88 + -16t

Solving for variable 't'.

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

Add '16t' to each side of the equation.
12 + 36t + 16t = 88 + -16t + 16t

Combine like terms: 36t + 16t = 52t
12 + 52t = 88 + -16t + 16t

Combine like terms: -16t + 16t = 0
12 + 52t = 88 + 0
12 + 52t = 88

Add '-12' to each side of the equation.
12 + -12 + 52t = 88 + -12

Combine like terms: 12 + -12 = 0
0 + 52t = 88 + -12
52t = 88 + -12

Combine like terms: 88 + -12 = 76
52t = 76

Divide each side by '52'.
t = 1.461538462

Simplifying
t = 1.461538462

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