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

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


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

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

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

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

Combine like terms: 56 + -7 = 49
49 + -7t + -1t = 2

Combine like terms: -7t + -1t = -8t
49 + -8t = 2

Solving
49 + -8t = 2

Solving for variable 't'.

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

Add '-49' to each side of the equation.
49 + -49 + -8t = 2 + -49

Combine like terms: 49 + -49 = 0
0 + -8t = 2 + -49
-8t = 2 + -49

Combine like terms: 2 + -49 = -47
-8t = -47

Divide each side by '-8'.
t = 5.875

Simplifying
t = 5.875

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