-6(t-3)-(t+6)=7

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Solution for -6(t-3)-(t+6)=7 equation:


Simplifying
-6(t + -3) + -1(t + 6) = 7

Reorder the terms:
-6(-3 + t) + -1(t + 6) = 7
(-3 * -6 + t * -6) + -1(t + 6) = 7
(18 + -6t) + -1(t + 6) = 7

Reorder the terms:
18 + -6t + -1(6 + t) = 7
18 + -6t + (6 * -1 + t * -1) = 7
18 + -6t + (-6 + -1t) = 7

Reorder the terms:
18 + -6 + -6t + -1t = 7

Combine like terms: 18 + -6 = 12
12 + -6t + -1t = 7

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

Solving
12 + -7t = 7

Solving for variable 't'.

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

Add '-12' to each side of the equation.
12 + -12 + -7t = 7 + -12

Combine like terms: 12 + -12 = 0
0 + -7t = 7 + -12
-7t = 7 + -12

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

Divide each side by '-7'.
t = 0.7142857143

Simplifying
t = 0.7142857143

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