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Simplifying 5(3 + -2t) = 4 + -1(3t + -5) (3 * 5 + -2t * 5) = 4 + -1(3t + -5) (15 + -10t) = 4 + -1(3t + -5) Reorder the terms: 15 + -10t = 4 + -1(-5 + 3t) 15 + -10t = 4 + (-5 * -1 + 3t * -1) 15 + -10t = 4 + (5 + -3t) Combine like terms: 4 + 5 = 9 15 + -10t = 9 + -3t Solving 15 + -10t = 9 + -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. 15 + -10t + 3t = 9 + -3t + 3t Combine like terms: -10t + 3t = -7t 15 + -7t = 9 + -3t + 3t Combine like terms: -3t + 3t = 0 15 + -7t = 9 + 0 15 + -7t = 9 Add '-15' to each side of the equation. 15 + -15 + -7t = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -7t = 9 + -15 -7t = 9 + -15 Combine like terms: 9 + -15 = -6 -7t = -6 Divide each side by '-7'. t = 0.8571428571 Simplifying t = 0.8571428571
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