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

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


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

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

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

Reorder the terms:
-16 + -6 + 8t + -12t = -5(t + 7) + -5

Combine like terms: -16 + -6 = -22
-22 + 8t + -12t = -5(t + 7) + -5

Combine like terms: 8t + -12t = -4t
-22 + -4t = -5(t + 7) + -5

Reorder the terms:
-22 + -4t = -5(7 + t) + -5
-22 + -4t = (7 * -5 + t * -5) + -5
-22 + -4t = (-35 + -5t) + -5

Reorder the terms:
-22 + -4t = -35 + -5 + -5t

Combine like terms: -35 + -5 = -40
-22 + -4t = -40 + -5t

Solving
-22 + -4t = -40 + -5t

Solving for variable 't'.

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

Add '5t' to each side of the equation.
-22 + -4t + 5t = -40 + -5t + 5t

Combine like terms: -4t + 5t = 1t
-22 + 1t = -40 + -5t + 5t

Combine like terms: -5t + 5t = 0
-22 + 1t = -40 + 0
-22 + 1t = -40

Add '22' to each side of the equation.
-22 + 22 + 1t = -40 + 22

Combine like terms: -22 + 22 = 0
0 + 1t = -40 + 22
1t = -40 + 22

Combine like terms: -40 + 22 = -18
1t = -18

Divide each side by '1'.
t = -18

Simplifying
t = -18

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