4t+8-6(2t-7)=12-5(3t+1)

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Solution for 4t+8-6(2t-7)=12-5(3t+1) equation:


Simplifying
4t + 8 + -6(2t + -7) = 12 + -5(3t + 1)

Reorder the terms:
4t + 8 + -6(-7 + 2t) = 12 + -5(3t + 1)
4t + 8 + (-7 * -6 + 2t * -6) = 12 + -5(3t + 1)
4t + 8 + (42 + -12t) = 12 + -5(3t + 1)

Reorder the terms:
8 + 42 + 4t + -12t = 12 + -5(3t + 1)

Combine like terms: 8 + 42 = 50
50 + 4t + -12t = 12 + -5(3t + 1)

Combine like terms: 4t + -12t = -8t
50 + -8t = 12 + -5(3t + 1)

Reorder the terms:
50 + -8t = 12 + -5(1 + 3t)
50 + -8t = 12 + (1 * -5 + 3t * -5)
50 + -8t = 12 + (-5 + -15t)

Combine like terms: 12 + -5 = 7
50 + -8t = 7 + -15t

Solving
50 + -8t = 7 + -15t

Solving for variable 't'.

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

Add '15t' to each side of the equation.
50 + -8t + 15t = 7 + -15t + 15t

Combine like terms: -8t + 15t = 7t
50 + 7t = 7 + -15t + 15t

Combine like terms: -15t + 15t = 0
50 + 7t = 7 + 0
50 + 7t = 7

Add '-50' to each side of the equation.
50 + -50 + 7t = 7 + -50

Combine like terms: 50 + -50 = 0
0 + 7t = 7 + -50
7t = 7 + -50

Combine like terms: 7 + -50 = -43
7t = -43

Divide each side by '7'.
t = -6.142857143

Simplifying
t = -6.142857143

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