3(t-3)-4(2t-3)=2-8(3t+1)

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Solution for 3(t-3)-4(2t-3)=2-8(3t+1) equation:


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

Reorder the terms:
3(-3 + t) + -4(2t + -3) = 2 + -8(3t + 1)
(-3 * 3 + t * 3) + -4(2t + -3) = 2 + -8(3t + 1)
(-9 + 3t) + -4(2t + -3) = 2 + -8(3t + 1)

Reorder the terms:
-9 + 3t + -4(-3 + 2t) = 2 + -8(3t + 1)
-9 + 3t + (-3 * -4 + 2t * -4) = 2 + -8(3t + 1)
-9 + 3t + (12 + -8t) = 2 + -8(3t + 1)

Reorder the terms:
-9 + 12 + 3t + -8t = 2 + -8(3t + 1)

Combine like terms: -9 + 12 = 3
3 + 3t + -8t = 2 + -8(3t + 1)

Combine like terms: 3t + -8t = -5t
3 + -5t = 2 + -8(3t + 1)

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

Combine like terms: 2 + -8 = -6
3 + -5t = -6 + -24t

Solving
3 + -5t = -6 + -24t

Solving for variable 't'.

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

Add '24t' to each side of the equation.
3 + -5t + 24t = -6 + -24t + 24t

Combine like terms: -5t + 24t = 19t
3 + 19t = -6 + -24t + 24t

Combine like terms: -24t + 24t = 0
3 + 19t = -6 + 0
3 + 19t = -6

Add '-3' to each side of the equation.
3 + -3 + 19t = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 19t = -6 + -3
19t = -6 + -3

Combine like terms: -6 + -3 = -9
19t = -9

Divide each side by '19'.
t = -0.4736842105

Simplifying
t = -0.4736842105

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