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

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


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

Reorder the terms:
-7(-7 + t) + -1(t + 8) = 6
(-7 * -7 + t * -7) + -1(t + 8) = 6
(49 + -7t) + -1(t + 8) = 6

Reorder the terms:
49 + -7t + -1(8 + t) = 6
49 + -7t + (8 * -1 + t * -1) = 6
49 + -7t + (-8 + -1t) = 6

Reorder the terms:
49 + -8 + -7t + -1t = 6

Combine like terms: 49 + -8 = 41
41 + -7t + -1t = 6

Combine like terms: -7t + -1t = -8t
41 + -8t = 6

Solving
41 + -8t = 6

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 = 6 + -41

Combine like terms: 41 + -41 = 0
0 + -8t = 6 + -41
-8t = 6 + -41

Combine like terms: 6 + -41 = -35
-8t = -35

Divide each side by '-8'.
t = 4.375

Simplifying
t = 4.375

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