-4(t-8)-(t+7)=10

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Solution for -4(t-8)-(t+7)=10 equation: 


Simplifying
-4(t + -8) + -1(t + 7) = 10

Reorder the terms:
-4(-8 + t) + -1(t + 7) = 10
(-8 * -4 + t * -4) + -1(t + 7) = 10
(32 + -4t) + -1(t + 7) = 10

Reorder the terms:
32 + -4t + -1(7 + t) = 10
32 + -4t + (7 * -1 + t * -1) = 10
32 + -4t + (-7 + -1t) = 10

Reorder the terms:
32 + -7 + -4t + -1t = 10

Combine like terms: 32 + -7 = 25
25 + -4t + -1t = 10

Combine like terms: -4t + -1t = -5t
25 + -5t = 10

Solving
25 + -5t = 10

Solving for variable 't'.

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

Add '-25' to each side of the equation.
25 + -25 + -5t = 10 + -25

Combine like terms: 25 + -25 = 0
0 + -5t = 10 + -25
-5t = 10 + -25

Combine like terms: 10 + -25 = -15
-5t = -15

Divide each side by '-5'.
t = 3

Simplifying
t = 3

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