15+20t-t=-4t-9(-4t+20)

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Solution for 15+20t-t=-4t-9(-4t+20) equation: 


Simplifying
15 + 20t + -1t = -4t + -9(-4t + 20)

Combine like terms: 20t + -1t = 19t
15 + 19t = -4t + -9(-4t + 20)

Reorder the terms:
15 + 19t = -4t + -9(20 + -4t)
15 + 19t = -4t + (20 * -9 + -4t * -9)
15 + 19t = -4t + (-180 + 36t)

Reorder the terms:
15 + 19t = -180 + -4t + 36t

Combine like terms: -4t + 36t = 32t
15 + 19t = -180 + 32t

Solving
15 + 19t = -180 + 32t

Solving for variable 't'.

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

Add '-32t' to each side of the equation.
15 + 19t + -32t = -180 + 32t + -32t

Combine like terms: 19t + -32t = -13t
15 + -13t = -180 + 32t + -32t

Combine like terms: 32t + -32t = 0
15 + -13t = -180 + 0
15 + -13t = -180

Add '-15' to each side of the equation.
15 + -15 + -13t = -180 + -15

Combine like terms: 15 + -15 = 0
0 + -13t = -180 + -15
-13t = -180 + -15

Combine like terms: -180 + -15 = -195
-13t = -195

Divide each side by '-13'.
t = 15

Simplifying
t = 15

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