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

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


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

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

Reorder the terms:
4 + 3t + -4t = 4(t + 2)

Combine like terms: 3t + -4t = -1t
4 + -1t = 4(t + 2)

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

Solving
4 + -1t = 8 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
4 + -1t + -4t = 8 + 4t + -4t

Combine like terms: -1t + -4t = -5t
4 + -5t = 8 + 4t + -4t

Combine like terms: 4t + -4t = 0
4 + -5t = 8 + 0
4 + -5t = 8

Add '-4' to each side of the equation.
4 + -4 + -5t = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -5t = 8 + -4
-5t = 8 + -4

Combine like terms: 8 + -4 = 4
-5t = 4

Divide each side by '-5'.
t = -0.8

Simplifying
t = -0.8

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