-7(t+6)+5(8-2t)=-18(t-1)-8

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Solution for -7(t+6)+5(8-2t)=-18(t-1)-8 equation:


Simplifying
-7(t + 6) + 5(8 + -2t) = -18(t + -1) + -8

Reorder the terms:
-7(6 + t) + 5(8 + -2t) = -18(t + -1) + -8
(6 * -7 + t * -7) + 5(8 + -2t) = -18(t + -1) + -8
(-42 + -7t) + 5(8 + -2t) = -18(t + -1) + -8
-42 + -7t + (8 * 5 + -2t * 5) = -18(t + -1) + -8
-42 + -7t + (40 + -10t) = -18(t + -1) + -8

Reorder the terms:
-42 + 40 + -7t + -10t = -18(t + -1) + -8

Combine like terms: -42 + 40 = -2
-2 + -7t + -10t = -18(t + -1) + -8

Combine like terms: -7t + -10t = -17t
-2 + -17t = -18(t + -1) + -8

Reorder the terms:
-2 + -17t = -18(-1 + t) + -8
-2 + -17t = (-1 * -18 + t * -18) + -8
-2 + -17t = (18 + -18t) + -8

Reorder the terms:
-2 + -17t = 18 + -8 + -18t

Combine like terms: 18 + -8 = 10
-2 + -17t = 10 + -18t

Solving
-2 + -17t = 10 + -18t

Solving for variable 't'.

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

Add '18t' to each side of the equation.
-2 + -17t + 18t = 10 + -18t + 18t

Combine like terms: -17t + 18t = 1t
-2 + 1t = 10 + -18t + 18t

Combine like terms: -18t + 18t = 0
-2 + 1t = 10 + 0
-2 + 1t = 10

Add '2' to each side of the equation.
-2 + 2 + 1t = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 1t = 10 + 2
1t = 10 + 2

Combine like terms: 10 + 2 = 12
1t = 12

Divide each side by '1'.
t = 12

Simplifying
t = 12

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