4t(t-5)-2t(3t+2)+108=3t(2t-5)-t(8t-3)

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Solution for 4t(t-5)-2t(3t+2)+108=3t(2t-5)-t(8t-3) equation: 


Simplifying
4t(t + -5) + -2t(3t + 2) + 108 = 3t(2t + -5) + -1t(8t + -3)

Reorder the terms:
4t(-5 + t) + -2t(3t + 2) + 108 = 3t(2t + -5) + -1t(8t + -3)
(-5 * 4t + t * 4t) + -2t(3t + 2) + 108 = 3t(2t + -5) + -1t(8t + -3)
(-20t + 4t2) + -2t(3t + 2) + 108 = 3t(2t + -5) + -1t(8t + -3)

Reorder the terms:
-20t + 4t2 + -2t(2 + 3t) + 108 = 3t(2t + -5) + -1t(8t + -3)
-20t + 4t2 + (2 * -2t + 3t * -2t) + 108 = 3t(2t + -5) + -1t(8t + -3)
-20t + 4t2 + (-4t + -6t2) + 108 = 3t(2t + -5) + -1t(8t + -3)

Reorder the terms:
108 + -20t + -4t + 4t2 + -6t2 = 3t(2t + -5) + -1t(8t + -3)

Combine like terms: -20t + -4t = -24t
108 + -24t + 4t2 + -6t2 = 3t(2t + -5) + -1t(8t + -3)

Combine like terms: 4t2 + -6t2 = -2t2
108 + -24t + -2t2 = 3t(2t + -5) + -1t(8t + -3)

Reorder the terms:
108 + -24t + -2t2 = 3t(-5 + 2t) + -1t(8t + -3)
108 + -24t + -2t2 = (-5 * 3t + 2t * 3t) + -1t(8t + -3)
108 + -24t + -2t2 = (-15t + 6t2) + -1t(8t + -3)

Reorder the terms:
108 + -24t + -2t2 = -15t + 6t2 + -1t(-3 + 8t)
108 + -24t + -2t2 = -15t + 6t2 + (-3 * -1t + 8t * -1t)
108 + -24t + -2t2 = -15t + 6t2 + (3t + -8t2)

Reorder the terms:
108 + -24t + -2t2 = -15t + 3t + 6t2 + -8t2

Combine like terms: -15t + 3t = -12t
108 + -24t + -2t2 = -12t + 6t2 + -8t2

Combine like terms: 6t2 + -8t2 = -2t2
108 + -24t + -2t2 = -12t + -2t2

Add '2t2' to each side of the equation.
108 + -24t + -2t2 + 2t2 = -12t + -2t2 + 2t2

Combine like terms: -2t2 + 2t2 = 0
108 + -24t + 0 = -12t + -2t2 + 2t2
108 + -24t = -12t + -2t2 + 2t2

Combine like terms: -2t2 + 2t2 = 0
108 + -24t = -12t + 0
108 + -24t = -12t

Solving
108 + -24t = -12t

Solving for variable 't'.

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

Add '12t' to each side of the equation.
108 + -24t + 12t = -12t + 12t

Combine like terms: -24t + 12t = -12t
108 + -12t = -12t + 12t

Combine like terms: -12t + 12t = 0
108 + -12t = 0

Add '-108' to each side of the equation.
108 + -108 + -12t = 0 + -108

Combine like terms: 108 + -108 = 0
0 + -12t = 0 + -108
-12t = 0 + -108

Combine like terms: 0 + -108 = -108
-12t = -108

Divide each side by '-12'.
t = 9

Simplifying
t = 9

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