-4(t-8)-(t+1)=8

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Solution for -4(t-8)-(t+1)=8 equation: 


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

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

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

Reorder the terms:
32 + -1 + -4t + -1t = 8

Combine like terms: 32 + -1 = 31
31 + -4t + -1t = 8

Combine like terms: -4t + -1t = -5t
31 + -5t = 8

Solving
31 + -5t = 8

Solving for variable 't'.

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

Add '-31' to each side of the equation.
31 + -31 + -5t = 8 + -31

Combine like terms: 31 + -31 = 0
0 + -5t = 8 + -31
-5t = 8 + -31

Combine like terms: 8 + -31 = -23
-5t = -23

Divide each side by '-5'.
t = 4.6

Simplifying
t = 4.6

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