-8(t-5)-(t+8)=8

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Solution for -8(t-5)-(t+8)=8 equation: 


Simplifying
-8(t + -5) + -1(t + 8) = 8

Reorder the terms:
-8(-5 + t) + -1(t + 8) = 8
(-5 * -8 + t * -8) + -1(t + 8) = 8
(40 + -8t) + -1(t + 8) = 8

Reorder the terms:
40 + -8t + -1(8 + t) = 8
40 + -8t + (8 * -1 + t * -1) = 8
40 + -8t + (-8 + -1t) = 8

Reorder the terms:
40 + -8 + -8t + -1t = 8

Combine like terms: 40 + -8 = 32
32 + -8t + -1t = 8

Combine like terms: -8t + -1t = -9t
32 + -9t = 8

Solving
32 + -9t = 8

Solving for variable 't'.

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

Add '-32' to each side of the equation.
32 + -32 + -9t = 8 + -32

Combine like terms: 32 + -32 = 0
0 + -9t = 8 + -32
-9t = 8 + -32

Combine like terms: 8 + -32 = -24
-9t = -24

Divide each side by '-9'.
t = 2.666666667

Simplifying
t = 2.666666667

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