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

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Solution for -7(t-6)-(t+1)=8 equation: 


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

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

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

Reorder the terms:
42 + -1 + -7t + -1t = 8

Combine like terms: 42 + -1 = 41
41 + -7t + -1t = 8

Combine like terms: -7t + -1t = -8t
41 + -8t = 8

Solving
41 + -8t = 8

Solving for variable 't'.

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

Add '-41' to each side of the equation.
41 + -41 + -8t = 8 + -41

Combine like terms: 41 + -41 = 0
0 + -8t = 8 + -41
-8t = 8 + -41

Combine like terms: 8 + -41 = -33
-8t = -33

Divide each side by '-8'.
t = 4.125

Simplifying
t = 4.125

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