5(t-3)-2t=-30

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Solution for 5(t-3)-2t=-30 equation:


Simplifying
5(t + -3) + -2t = -30

Reorder the terms:
5(-3 + t) + -2t = -30
(-3 * 5 + t * 5) + -2t = -30
(-15 + 5t) + -2t = -30

Combine like terms: 5t + -2t = 3t
-15 + 3t = -30

Solving
-15 + 3t = -30

Solving for variable 't'.

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

Add '15' to each side of the equation.
-15 + 15 + 3t = -30 + 15

Combine like terms: -15 + 15 = 0
0 + 3t = -30 + 15
3t = -30 + 15

Combine like terms: -30 + 15 = -15
3t = -15

Divide each side by '3'.
t = -5

Simplifying
t = -5

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