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Simplifying -1(-10t + 2) + 6 = 8 + -3t Reorder the terms: -1(2 + -10t) + 6 = 8 + -3t (2 * -1 + -10t * -1) + 6 = 8 + -3t (-2 + 10t) + 6 = 8 + -3t Reorder the terms: -2 + 6 + 10t = 8 + -3t Combine like terms: -2 + 6 = 4 4 + 10t = 8 + -3t Solving 4 + 10t = 8 + -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. 4 + 10t + 3t = 8 + -3t + 3t Combine like terms: 10t + 3t = 13t 4 + 13t = 8 + -3t + 3t Combine like terms: -3t + 3t = 0 4 + 13t = 8 + 0 4 + 13t = 8 Add '-4' to each side of the equation. 4 + -4 + 13t = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 13t = 8 + -4 13t = 8 + -4 Combine like terms: 8 + -4 = 4 13t = 4 Divide each side by '13'. t = 0.3076923077 Simplifying t = 0.3076923077
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