-3(-4-6t)+7(-t+5)=-8

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Solution for -3(-4-6t)+7(-t+5)=-8 equation: 


Simplifying
-3(-4 + -6t) + 7(-1t + 5) = -8
(-4 * -3 + -6t * -3) + 7(-1t + 5) = -8
(12 + 18t) + 7(-1t + 5) = -8

Reorder the terms:
12 + 18t + 7(5 + -1t) = -8
12 + 18t + (5 * 7 + -1t * 7) = -8
12 + 18t + (35 + -7t) = -8

Reorder the terms:
12 + 35 + 18t + -7t = -8

Combine like terms: 12 + 35 = 47
47 + 18t + -7t = -8

Combine like terms: 18t + -7t = 11t
47 + 11t = -8

Solving
47 + 11t = -8

Solving for variable 't'.

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

Add '-47' to each side of the equation.
47 + -47 + 11t = -8 + -47

Combine like terms: 47 + -47 = 0
0 + 11t = -8 + -47
11t = -8 + -47

Combine like terms: -8 + -47 = -55
11t = -55

Divide each side by '11'.
t = -5

Simplifying
t = -5

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