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

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Solution for 3(t-1)-5(t+2)=7 equation: 


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

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

Reorder the terms:
-3 + 3t + -5(2 + t) = 7
-3 + 3t + (2 * -5 + t * -5) = 7
-3 + 3t + (-10 + -5t) = 7

Reorder the terms:
-3 + -10 + 3t + -5t = 7

Combine like terms: -3 + -10 = -13
-13 + 3t + -5t = 7

Combine like terms: 3t + -5t = -2t
-13 + -2t = 7

Solving
-13 + -2t = 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 + -2t = 7 + 13

Combine like terms: -13 + 13 = 0
0 + -2t = 7 + 13
-2t = 7 + 13

Combine like terms: 7 + 13 = 20
-2t = 20

Divide each side by '-2'.
t = -10

Simplifying
t = -10

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