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

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


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

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

Reorder the terms:
-4 + 2t + -3(-1 + 5t) = 6 + -5(7t + 4)
-4 + 2t + (-1 * -3 + 5t * -3) = 6 + -5(7t + 4)
-4 + 2t + (3 + -15t) = 6 + -5(7t + 4)

Reorder the terms:
-4 + 3 + 2t + -15t = 6 + -5(7t + 4)

Combine like terms: -4 + 3 = -1
-1 + 2t + -15t = 6 + -5(7t + 4)

Combine like terms: 2t + -15t = -13t
-1 + -13t = 6 + -5(7t + 4)

Reorder the terms:
-1 + -13t = 6 + -5(4 + 7t)
-1 + -13t = 6 + (4 * -5 + 7t * -5)
-1 + -13t = 6 + (-20 + -35t)

Combine like terms: 6 + -20 = -14
-1 + -13t = -14 + -35t

Solving
-1 + -13t = -14 + -35t

Solving for variable 't'.

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

Add '35t' to each side of the equation.
-1 + -13t + 35t = -14 + -35t + 35t

Combine like terms: -13t + 35t = 22t
-1 + 22t = -14 + -35t + 35t

Combine like terms: -35t + 35t = 0
-1 + 22t = -14 + 0
-1 + 22t = -14

Add '1' to each side of the equation.
-1 + 1 + 22t = -14 + 1

Combine like terms: -1 + 1 = 0
0 + 22t = -14 + 1
22t = -14 + 1

Combine like terms: -14 + 1 = -13
22t = -13

Divide each side by '22'.
t = -0.5909090909

Simplifying
t = -0.5909090909

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