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Simplifying -1(3t + -1) + 7 = 8t + -1(3 + -2t) Reorder the terms: -1(-1 + 3t) + 7 = 8t + -1(3 + -2t) (-1 * -1 + 3t * -1) + 7 = 8t + -1(3 + -2t) (1 + -3t) + 7 = 8t + -1(3 + -2t) Reorder the terms: 1 + 7 + -3t = 8t + -1(3 + -2t) Combine like terms: 1 + 7 = 8 8 + -3t = 8t + -1(3 + -2t) 8 + -3t = 8t + (3 * -1 + -2t * -1) 8 + -3t = 8t + (-3 + 2t) Reorder the terms: 8 + -3t = -3 + 8t + 2t Combine like terms: 8t + 2t = 10t 8 + -3t = -3 + 10t Solving 8 + -3t = -3 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 8 + -3t + -10t = -3 + 10t + -10t Combine like terms: -3t + -10t = -13t 8 + -13t = -3 + 10t + -10t Combine like terms: 10t + -10t = 0 8 + -13t = -3 + 0 8 + -13t = -3 Add '-8' to each side of the equation. 8 + -8 + -13t = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -13t = -3 + -8 -13t = -3 + -8 Combine like terms: -3 + -8 = -11 -13t = -11 Divide each side by '-13'. t = 0.8461538462 Simplifying t = 0.8461538462
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