-7(t-8)-(t+5)=2

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Solution for -7(t-8)-(t+5)=2 equation: 


Simplifying
-7(t + -8) + -1(t + 5) = 2

Reorder the terms:
-7(-8 + t) + -1(t + 5) = 2
(-8 * -7 + t * -7) + -1(t + 5) = 2
(56 + -7t) + -1(t + 5) = 2

Reorder the terms:
56 + -7t + -1(5 + t) = 2
56 + -7t + (5 * -1 + t * -1) = 2
56 + -7t + (-5 + -1t) = 2

Reorder the terms:
56 + -5 + -7t + -1t = 2

Combine like terms: 56 + -5 = 51
51 + -7t + -1t = 2

Combine like terms: -7t + -1t = -8t
51 + -8t = 2

Solving
51 + -8t = 2

Solving for variable 't'.

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

Add '-51' to each side of the equation.
51 + -51 + -8t = 2 + -51

Combine like terms: 51 + -51 = 0
0 + -8t = 2 + -51
-8t = 2 + -51

Combine like terms: 2 + -51 = -49
-8t = -49

Divide each side by '-8'.
t = 6.125

Simplifying
t = 6.125

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