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Simplifying -8(-2t + -8) = -6 + 12t Reorder the terms: -8(-8 + -2t) = -6 + 12t (-8 * -8 + -2t * -8) = -6 + 12t (64 + 16t) = -6 + 12t Solving 64 + 16t = -6 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 64 + 16t + -12t = -6 + 12t + -12t Combine like terms: 16t + -12t = 4t 64 + 4t = -6 + 12t + -12t Combine like terms: 12t + -12t = 0 64 + 4t = -6 + 0 64 + 4t = -6 Add '-64' to each side of the equation. 64 + -64 + 4t = -6 + -64 Combine like terms: 64 + -64 = 0 0 + 4t = -6 + -64 4t = -6 + -64 Combine like terms: -6 + -64 = -70 4t = -70 Divide each side by '4'. t = -17.5 Simplifying t = -17.5
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