-6(t-7)-(t+2)=8

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Solution for -6(t-7)-(t+2)=8 equation: 


Simplifying
-6(t + -7) + -1(t + 2) = 8

Reorder the terms:
-6(-7 + t) + -1(t + 2) = 8
(-7 * -6 + t * -6) + -1(t + 2) = 8
(42 + -6t) + -1(t + 2) = 8

Reorder the terms:
42 + -6t + -1(2 + t) = 8
42 + -6t + (2 * -1 + t * -1) = 8
42 + -6t + (-2 + -1t) = 8

Reorder the terms:
42 + -2 + -6t + -1t = 8

Combine like terms: 42 + -2 = 40
40 + -6t + -1t = 8

Combine like terms: -6t + -1t = -7t
40 + -7t = 8

Solving
40 + -7t = 8

Solving for variable 't'.

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

Add '-40' to each side of the equation.
40 + -40 + -7t = 8 + -40

Combine like terms: 40 + -40 = 0
0 + -7t = 8 + -40
-7t = 8 + -40

Combine like terms: 8 + -40 = -32
-7t = -32

Divide each side by '-7'.
t = 4.571428571

Simplifying
t = 4.571428571

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