5t-3(t-3)=-t

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


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

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

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

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

Solving
9 + 2t = -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
9 + 2t + t = -1t + t

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

Combine like terms: -1t + t = 0
9 + 3t = 0

Add '-9' to each side of the equation.
9 + -9 + 3t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 3t = 0 + -9
3t = 0 + -9

Combine like terms: 0 + -9 = -9
3t = -9

Divide each side by '3'.
t = -3

Simplifying
t = -3

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