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Simplifying -2(t + -5) + 8t = 3t + -1 Reorder the terms: -2(-5 + t) + 8t = 3t + -1 (-5 * -2 + t * -2) + 8t = 3t + -1 (10 + -2t) + 8t = 3t + -1 Combine like terms: -2t + 8t = 6t 10 + 6t = 3t + -1 Reorder the terms: 10 + 6t = -1 + 3t Solving 10 + 6t = -1 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 10 + 6t + -3t = -1 + 3t + -3t Combine like terms: 6t + -3t = 3t 10 + 3t = -1 + 3t + -3t Combine like terms: 3t + -3t = 0 10 + 3t = -1 + 0 10 + 3t = -1 Add '-10' to each side of the equation. 10 + -10 + 3t = -1 + -10 Combine like terms: 10 + -10 = 0 0 + 3t = -1 + -10 3t = -1 + -10 Combine like terms: -1 + -10 = -11 3t = -11 Divide each side by '3'. t = -3.666666667 Simplifying t = -3.666666667
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