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Simplifying -1(8t + 2) = -2(-10 + 5t) + 6t Reorder the terms: -1(2 + 8t) = -2(-10 + 5t) + 6t (2 * -1 + 8t * -1) = -2(-10 + 5t) + 6t (-2 + -8t) = -2(-10 + 5t) + 6t -2 + -8t = (-10 * -2 + 5t * -2) + 6t -2 + -8t = (20 + -10t) + 6t Combine like terms: -10t + 6t = -4t -2 + -8t = 20 + -4t Solving -2 + -8t = 20 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. -2 + -8t + 4t = 20 + -4t + 4t Combine like terms: -8t + 4t = -4t -2 + -4t = 20 + -4t + 4t Combine like terms: -4t + 4t = 0 -2 + -4t = 20 + 0 -2 + -4t = 20 Add '2' to each side of the equation. -2 + 2 + -4t = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -4t = 20 + 2 -4t = 20 + 2 Combine like terms: 20 + 2 = 22 -4t = 22 Divide each side by '-4'. t = -5.5 Simplifying t = -5.5
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