-7(t-4)-(t+2)=8

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Solution for -7(t-4)-(t+2)=8 equation: 


Simplifying
-7(t + -4) + -1(t + 2) = 8

Reorder the terms:
-7(-4 + t) + -1(t + 2) = 8
(-4 * -7 + t * -7) + -1(t + 2) = 8
(28 + -7t) + -1(t + 2) = 8

Reorder the terms:
28 + -7t + -1(2 + t) = 8
28 + -7t + (2 * -1 + t * -1) = 8
28 + -7t + (-2 + -1t) = 8

Reorder the terms:
28 + -2 + -7t + -1t = 8

Combine like terms: 28 + -2 = 26
26 + -7t + -1t = 8

Combine like terms: -7t + -1t = -8t
26 + -8t = 8

Solving
26 + -8t = 8

Solving for variable 't'.

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

Add '-26' to each side of the equation.
26 + -26 + -8t = 8 + -26

Combine like terms: 26 + -26 = 0
0 + -8t = 8 + -26
-8t = 8 + -26

Combine like terms: 8 + -26 = -18
-8t = -18

Divide each side by '-8'.
t = 2.25

Simplifying
t = 2.25

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