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

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


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

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

Reorder the terms:
-2 + 2t + -3(-5 + 3t) = 7 + -5(5t + 1)
-2 + 2t + (-5 * -3 + 3t * -3) = 7 + -5(5t + 1)
-2 + 2t + (15 + -9t) = 7 + -5(5t + 1)

Reorder the terms:
-2 + 15 + 2t + -9t = 7 + -5(5t + 1)

Combine like terms: -2 + 15 = 13
13 + 2t + -9t = 7 + -5(5t + 1)

Combine like terms: 2t + -9t = -7t
13 + -7t = 7 + -5(5t + 1)

Reorder the terms:
13 + -7t = 7 + -5(1 + 5t)
13 + -7t = 7 + (1 * -5 + 5t * -5)
13 + -7t = 7 + (-5 + -25t)

Combine like terms: 7 + -5 = 2
13 + -7t = 2 + -25t

Solving
13 + -7t = 2 + -25t

Solving for variable 't'.

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

Add '25t' to each side of the equation.
13 + -7t + 25t = 2 + -25t + 25t

Combine like terms: -7t + 25t = 18t
13 + 18t = 2 + -25t + 25t

Combine like terms: -25t + 25t = 0
13 + 18t = 2 + 0
13 + 18t = 2

Add '-13' to each side of the equation.
13 + -13 + 18t = 2 + -13

Combine like terms: 13 + -13 = 0
0 + 18t = 2 + -13
18t = 2 + -13

Combine like terms: 2 + -13 = -11
18t = -11

Divide each side by '18'.
t = -0.6111111111

Simplifying
t = -0.6111111111

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