-7(t-2)-2(8t+6)=-24(t-1)-5

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Solution for -7(t-2)-2(8t+6)=-24(t-1)-5 equation:


Simplifying
-7(t + -2) + -2(8t + 6) = -24(t + -1) + -5

Reorder the terms:
-7(-2 + t) + -2(8t + 6) = -24(t + -1) + -5
(-2 * -7 + t * -7) + -2(8t + 6) = -24(t + -1) + -5
(14 + -7t) + -2(8t + 6) = -24(t + -1) + -5

Reorder the terms:
14 + -7t + -2(6 + 8t) = -24(t + -1) + -5
14 + -7t + (6 * -2 + 8t * -2) = -24(t + -1) + -5
14 + -7t + (-12 + -16t) = -24(t + -1) + -5

Reorder the terms:
14 + -12 + -7t + -16t = -24(t + -1) + -5

Combine like terms: 14 + -12 = 2
2 + -7t + -16t = -24(t + -1) + -5

Combine like terms: -7t + -16t = -23t
2 + -23t = -24(t + -1) + -5

Reorder the terms:
2 + -23t = -24(-1 + t) + -5
2 + -23t = (-1 * -24 + t * -24) + -5
2 + -23t = (24 + -24t) + -5

Reorder the terms:
2 + -23t = 24 + -5 + -24t

Combine like terms: 24 + -5 = 19
2 + -23t = 19 + -24t

Solving
2 + -23t = 19 + -24t

Solving for variable 't'.

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

Add '24t' to each side of the equation.
2 + -23t + 24t = 19 + -24t + 24t

Combine like terms: -23t + 24t = 1t
2 + 1t = 19 + -24t + 24t

Combine like terms: -24t + 24t = 0
2 + 1t = 19 + 0
2 + 1t = 19

Add '-2' to each side of the equation.
2 + -2 + 1t = 19 + -2

Combine like terms: 2 + -2 = 0
0 + 1t = 19 + -2
1t = 19 + -2

Combine like terms: 19 + -2 = 17
1t = 17

Divide each side by '1'.
t = 17

Simplifying
t = 17

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