30-5(9-2t)=5(t-1)

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Solution for 30-5(9-2t)=5(t-1) equation:


Simplifying
30 + -5(9 + -2t) = 5(t + -1)
30 + (9 * -5 + -2t * -5) = 5(t + -1)
30 + (-45 + 10t) = 5(t + -1)

Combine like terms: 30 + -45 = -15
-15 + 10t = 5(t + -1)

Reorder the terms:
-15 + 10t = 5(-1 + t)
-15 + 10t = (-1 * 5 + t * 5)
-15 + 10t = (-5 + 5t)

Solving
-15 + 10t = -5 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-15 + 10t + -5t = -5 + 5t + -5t

Combine like terms: 10t + -5t = 5t
-15 + 5t = -5 + 5t + -5t

Combine like terms: 5t + -5t = 0
-15 + 5t = -5 + 0
-15 + 5t = -5

Add '15' to each side of the equation.
-15 + 15 + 5t = -5 + 15

Combine like terms: -15 + 15 = 0
0 + 5t = -5 + 15
5t = -5 + 15

Combine like terms: -5 + 15 = 10
5t = 10

Divide each side by '5'.
t = 2

Simplifying
t = 2

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