-5(t-3)-(t+7)=10

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Solution for -5(t-3)-(t+7)=10 equation: 


Simplifying
-5(t + -3) + -1(t + 7) = 10

Reorder the terms:
-5(-3 + t) + -1(t + 7) = 10
(-3 * -5 + t * -5) + -1(t + 7) = 10
(15 + -5t) + -1(t + 7) = 10

Reorder the terms:
15 + -5t + -1(7 + t) = 10
15 + -5t + (7 * -1 + t * -1) = 10
15 + -5t + (-7 + -1t) = 10

Reorder the terms:
15 + -7 + -5t + -1t = 10

Combine like terms: 15 + -7 = 8
8 + -5t + -1t = 10

Combine like terms: -5t + -1t = -6t
8 + -6t = 10

Solving
8 + -6t = 10

Solving for variable 't'.

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

Add '-8' to each side of the equation.
8 + -8 + -6t = 10 + -8

Combine like terms: 8 + -8 = 0
0 + -6t = 10 + -8
-6t = 10 + -8

Combine like terms: 10 + -8 = 2
-6t = 2

Divide each side by '-6'.
t = -0.3333333333

Simplifying
t = -0.3333333333

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