-3(t-4)-(t+7)=10

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Solution for -3(t-4)-(t+7)=10 equation: 


Simplifying
-3(t + -4) + -1(t + 7) = 10

Reorder the terms:
-3(-4 + t) + -1(t + 7) = 10
(-4 * -3 + t * -3) + -1(t + 7) = 10
(12 + -3t) + -1(t + 7) = 10

Reorder the terms:
12 + -3t + -1(7 + t) = 10
12 + -3t + (7 * -1 + t * -1) = 10
12 + -3t + (-7 + -1t) = 10

Reorder the terms:
12 + -7 + -3t + -1t = 10

Combine like terms: 12 + -7 = 5
5 + -3t + -1t = 10

Combine like terms: -3t + -1t = -4t
5 + -4t = 10

Solving
5 + -4t = 10

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 + -4t = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -4t = 10 + -5
-4t = 10 + -5

Combine like terms: 10 + -5 = 5
-4t = 5

Divide each side by '-4'.
t = -1.25

Simplifying
t = -1.25

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