-6(t-5)-(t+7)=7

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Solution for -6(t-5)-(t+7)=7 equation: 


Simplifying
-6(t + -5) + -1(t + 7) = 7

Reorder the terms:
-6(-5 + t) + -1(t + 7) = 7
(-5 * -6 + t * -6) + -1(t + 7) = 7
(30 + -6t) + -1(t + 7) = 7

Reorder the terms:
30 + -6t + -1(7 + t) = 7
30 + -6t + (7 * -1 + t * -1) = 7
30 + -6t + (-7 + -1t) = 7

Reorder the terms:
30 + -7 + -6t + -1t = 7

Combine like terms: 30 + -7 = 23
23 + -6t + -1t = 7

Combine like terms: -6t + -1t = -7t
23 + -7t = 7

Solving
23 + -7t = 7

Solving for variable 't'.

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

Add '-23' to each side of the equation.
23 + -23 + -7t = 7 + -23

Combine like terms: 23 + -23 = 0
0 + -7t = 7 + -23
-7t = 7 + -23

Combine like terms: 7 + -23 = -16
-7t = -16

Divide each side by '-7'.
t = 2.285714286

Simplifying
t = 2.285714286

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