3(2t-4)+10=4(t-1)-(3t+1)

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Solution for 3(2t-4)+10=4(t-1)-(3t+1) equation:


Simplifying
3(2t + -4) + 10 = 4(t + -1) + -1(3t + 1)

Reorder the terms:
3(-4 + 2t) + 10 = 4(t + -1) + -1(3t + 1)
(-4 * 3 + 2t * 3) + 10 = 4(t + -1) + -1(3t + 1)
(-12 + 6t) + 10 = 4(t + -1) + -1(3t + 1)

Reorder the terms:
-12 + 10 + 6t = 4(t + -1) + -1(3t + 1)

Combine like terms: -12 + 10 = -2
-2 + 6t = 4(t + -1) + -1(3t + 1)

Reorder the terms:
-2 + 6t = 4(-1 + t) + -1(3t + 1)
-2 + 6t = (-1 * 4 + t * 4) + -1(3t + 1)
-2 + 6t = (-4 + 4t) + -1(3t + 1)

Reorder the terms:
-2 + 6t = -4 + 4t + -1(1 + 3t)
-2 + 6t = -4 + 4t + (1 * -1 + 3t * -1)
-2 + 6t = -4 + 4t + (-1 + -3t)

Reorder the terms:
-2 + 6t = -4 + -1 + 4t + -3t

Combine like terms: -4 + -1 = -5
-2 + 6t = -5 + 4t + -3t

Combine like terms: 4t + -3t = 1t
-2 + 6t = -5 + 1t

Solving
-2 + 6t = -5 + 1t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-2 + 6t + -1t = -5 + 1t + -1t

Combine like terms: 6t + -1t = 5t
-2 + 5t = -5 + 1t + -1t

Combine like terms: 1t + -1t = 0
-2 + 5t = -5 + 0
-2 + 5t = -5

Add '2' to each side of the equation.
-2 + 2 + 5t = -5 + 2

Combine like terms: -2 + 2 = 0
0 + 5t = -5 + 2
5t = -5 + 2

Combine like terms: -5 + 2 = -3
5t = -3

Divide each side by '5'.
t = -0.6

Simplifying
t = -0.6

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