-8(t+1)+2(2t-2)=-5(t+4)-2

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Solution for -8(t+1)+2(2t-2)=-5(t+4)-2 equation:


Simplifying
-8(t + 1) + 2(2t + -2) = -5(t + 4) + -2

Reorder the terms:
-8(1 + t) + 2(2t + -2) = -5(t + 4) + -2
(1 * -8 + t * -8) + 2(2t + -2) = -5(t + 4) + -2
(-8 + -8t) + 2(2t + -2) = -5(t + 4) + -2

Reorder the terms:
-8 + -8t + 2(-2 + 2t) = -5(t + 4) + -2
-8 + -8t + (-2 * 2 + 2t * 2) = -5(t + 4) + -2
-8 + -8t + (-4 + 4t) = -5(t + 4) + -2

Reorder the terms:
-8 + -4 + -8t + 4t = -5(t + 4) + -2

Combine like terms: -8 + -4 = -12
-12 + -8t + 4t = -5(t + 4) + -2

Combine like terms: -8t + 4t = -4t
-12 + -4t = -5(t + 4) + -2

Reorder the terms:
-12 + -4t = -5(4 + t) + -2
-12 + -4t = (4 * -5 + t * -5) + -2
-12 + -4t = (-20 + -5t) + -2

Reorder the terms:
-12 + -4t = -20 + -2 + -5t

Combine like terms: -20 + -2 = -22
-12 + -4t = -22 + -5t

Solving
-12 + -4t = -22 + -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.
-12 + -4t + 5t = -22 + -5t + 5t

Combine like terms: -4t + 5t = 1t
-12 + 1t = -22 + -5t + 5t

Combine like terms: -5t + 5t = 0
-12 + 1t = -22 + 0
-12 + 1t = -22

Add '12' to each side of the equation.
-12 + 12 + 1t = -22 + 12

Combine like terms: -12 + 12 = 0
0 + 1t = -22 + 12
1t = -22 + 12

Combine like terms: -22 + 12 = -10
1t = -10

Divide each side by '1'.
t = -10

Simplifying
t = -10

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