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

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


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

Reorder the terms:
-3(-3 + t) + -1(t + 2) = 5
(-3 * -3 + t * -3) + -1(t + 2) = 5
(9 + -3t) + -1(t + 2) = 5

Reorder the terms:
9 + -3t + -1(2 + t) = 5
9 + -3t + (2 * -1 + t * -1) = 5
9 + -3t + (-2 + -1t) = 5

Reorder the terms:
9 + -2 + -3t + -1t = 5

Combine like terms: 9 + -2 = 7
7 + -3t + -1t = 5

Combine like terms: -3t + -1t = -4t
7 + -4t = 5

Solving
7 + -4t = 5

Solving for variable 't'.

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

Add '-7' to each side of the equation.
7 + -7 + -4t = 5 + -7

Combine like terms: 7 + -7 = 0
0 + -4t = 5 + -7
-4t = 5 + -7

Combine like terms: 5 + -7 = -2
-4t = -2

Divide each side by '-4'.
t = 0.5

Simplifying
t = 0.5

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