15(2-11t)=15(5(t+2))

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Solution for 15(2-11t)=15(5(t+2)) equation:


Simplifying
15(2 + -11t) = 15(5(t + 2))
(2 * 15 + -11t * 15) = 15(5(t + 2))
(30 + -165t) = 15(5(t + 2))

Reorder the terms:
30 + -165t = 15(5(2 + t))
30 + -165t = 15((2 * 5 + t * 5))
30 + -165t = 15((10 + 5t))
30 + -165t = (10 * 15 + 5t * 15)
30 + -165t = (150 + 75t)

Solving
30 + -165t = 150 + 75t

Solving for variable 't'.

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

Add '-75t' to each side of the equation.
30 + -165t + -75t = 150 + 75t + -75t

Combine like terms: -165t + -75t = -240t
30 + -240t = 150 + 75t + -75t

Combine like terms: 75t + -75t = 0
30 + -240t = 150 + 0
30 + -240t = 150

Add '-30' to each side of the equation.
30 + -30 + -240t = 150 + -30

Combine like terms: 30 + -30 = 0
0 + -240t = 150 + -30
-240t = 150 + -30

Combine like terms: 150 + -30 = 120
-240t = 120

Divide each side by '-240'.
t = -0.5

Simplifying
t = -0.5

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