-6(t-2)-(t+7)=1

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Solution for -6(t-2)-(t+7)=1 equation: 


Simplifying
-6(t + -2) + -1(t + 7) = 1

Reorder the terms:
-6(-2 + t) + -1(t + 7) = 1
(-2 * -6 + t * -6) + -1(t + 7) = 1
(12 + -6t) + -1(t + 7) = 1

Reorder the terms:
12 + -6t + -1(7 + t) = 1
12 + -6t + (7 * -1 + t * -1) = 1
12 + -6t + (-7 + -1t) = 1

Reorder the terms:
12 + -7 + -6t + -1t = 1

Combine like terms: 12 + -7 = 5
5 + -6t + -1t = 1

Combine like terms: -6t + -1t = -7t
5 + -7t = 1

Solving
5 + -7t = 1

Solving for variable 't'.

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

Add '-5' to each side of the equation.
5 + -5 + -7t = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -7t = 1 + -5
-7t = 1 + -5

Combine like terms: 1 + -5 = -4
-7t = -4

Divide each side by '-7'.
t = 0.5714285714

Simplifying
t = 0.5714285714

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