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Simplifying 3(3 + -1t) = 5(2t + 7) (3 * 3 + -1t * 3) = 5(2t + 7) (9 + -3t) = 5(2t + 7) Reorder the terms: 9 + -3t = 5(7 + 2t) 9 + -3t = (7 * 5 + 2t * 5) 9 + -3t = (35 + 10t) Solving 9 + -3t = 35 + 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. 9 + -3t + -10t = 35 + 10t + -10t Combine like terms: -3t + -10t = -13t 9 + -13t = 35 + 10t + -10t Combine like terms: 10t + -10t = 0 9 + -13t = 35 + 0 9 + -13t = 35 Add '-9' to each side of the equation. 9 + -9 + -13t = 35 + -9 Combine like terms: 9 + -9 = 0 0 + -13t = 35 + -9 -13t = 35 + -9 Combine like terms: 35 + -9 = 26 -13t = 26 Divide each side by '-13'. t = -2 Simplifying t = -2
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