2(t+4)-2(9t-8)=-17(t-2)+4

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Solution for 2(t+4)-2(9t-8)=-17(t-2)+4 equation:


Simplifying
2(t + 4) + -2(9t + -8) = -17(t + -2) + 4

Reorder the terms:
2(4 + t) + -2(9t + -8) = -17(t + -2) + 4
(4 * 2 + t * 2) + -2(9t + -8) = -17(t + -2) + 4
(8 + 2t) + -2(9t + -8) = -17(t + -2) + 4

Reorder the terms:
8 + 2t + -2(-8 + 9t) = -17(t + -2) + 4
8 + 2t + (-8 * -2 + 9t * -2) = -17(t + -2) + 4
8 + 2t + (16 + -18t) = -17(t + -2) + 4

Reorder the terms:
8 + 16 + 2t + -18t = -17(t + -2) + 4

Combine like terms: 8 + 16 = 24
24 + 2t + -18t = -17(t + -2) + 4

Combine like terms: 2t + -18t = -16t
24 + -16t = -17(t + -2) + 4

Reorder the terms:
24 + -16t = -17(-2 + t) + 4
24 + -16t = (-2 * -17 + t * -17) + 4
24 + -16t = (34 + -17t) + 4

Reorder the terms:
24 + -16t = 34 + 4 + -17t

Combine like terms: 34 + 4 = 38
24 + -16t = 38 + -17t

Solving
24 + -16t = 38 + -17t

Solving for variable 't'.

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

Add '17t' to each side of the equation.
24 + -16t + 17t = 38 + -17t + 17t

Combine like terms: -16t + 17t = 1t
24 + 1t = 38 + -17t + 17t

Combine like terms: -17t + 17t = 0
24 + 1t = 38 + 0
24 + 1t = 38

Add '-24' to each side of the equation.
24 + -24 + 1t = 38 + -24

Combine like terms: 24 + -24 = 0
0 + 1t = 38 + -24
1t = 38 + -24

Combine like terms: 38 + -24 = 14
1t = 14

Divide each side by '1'.
t = 14

Simplifying
t = 14

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