-3(t-5)-(t+2)=7

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Solution for -3(t-5)-(t+2)=7 equation: 


Simplifying
-3(t + -5) + -1(t + 2) = 7

Reorder the terms:
-3(-5 + t) + -1(t + 2) = 7
(-5 * -3 + t * -3) + -1(t + 2) = 7
(15 + -3t) + -1(t + 2) = 7

Reorder the terms:
15 + -3t + -1(2 + t) = 7
15 + -3t + (2 * -1 + t * -1) = 7
15 + -3t + (-2 + -1t) = 7

Reorder the terms:
15 + -2 + -3t + -1t = 7

Combine like terms: 15 + -2 = 13
13 + -3t + -1t = 7

Combine like terms: -3t + -1t = -4t
13 + -4t = 7

Solving
13 + -4t = 7

Solving for variable 't'.

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

Add '-13' to each side of the equation.
13 + -13 + -4t = 7 + -13

Combine like terms: 13 + -13 = 0
0 + -4t = 7 + -13
-4t = 7 + -13

Combine like terms: 7 + -13 = -6
-4t = -6

Divide each side by '-4'.
t = 1.5

Simplifying
t = 1.5

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