13(-4t+2)-17=-2(t-5)+8

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Solution for 13(-4t+2)-17=-2(t-5)+8 equation: 


Simplifying
13(-4t + 2) + -17 = -2(t + -5) + 8

Reorder the terms:
13(2 + -4t) + -17 = -2(t + -5) + 8
(2 * 13 + -4t * 13) + -17 = -2(t + -5) + 8
(26 + -52t) + -17 = -2(t + -5) + 8

Reorder the terms:
26 + -17 + -52t = -2(t + -5) + 8

Combine like terms: 26 + -17 = 9
9 + -52t = -2(t + -5) + 8

Reorder the terms:
9 + -52t = -2(-5 + t) + 8
9 + -52t = (-5 * -2 + t * -2) + 8
9 + -52t = (10 + -2t) + 8

Reorder the terms:
9 + -52t = 10 + 8 + -2t

Combine like terms: 10 + 8 = 18
9 + -52t = 18 + -2t

Solving
9 + -52t = 18 + -2t

Solving for variable 't'.

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

Add '2t' to each side of the equation.
9 + -52t + 2t = 18 + -2t + 2t

Combine like terms: -52t + 2t = -50t
9 + -50t = 18 + -2t + 2t

Combine like terms: -2t + 2t = 0
9 + -50t = 18 + 0
9 + -50t = 18

Add '-9' to each side of the equation.
9 + -9 + -50t = 18 + -9

Combine like terms: 9 + -9 = 0
0 + -50t = 18 + -9
-50t = 18 + -9

Combine like terms: 18 + -9 = 9
-50t = 9

Divide each side by '-50'.
t = -0.18

Simplifying
t = -0.18

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