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Simplifying 3(t + -2) + 7 = 5(2t + 5) + -13 Reorder the terms: 3(-2 + t) + 7 = 5(2t + 5) + -13 (-2 * 3 + t * 3) + 7 = 5(2t + 5) + -13 (-6 + 3t) + 7 = 5(2t + 5) + -13 Reorder the terms: -6 + 7 + 3t = 5(2t + 5) + -13 Combine like terms: -6 + 7 = 1 1 + 3t = 5(2t + 5) + -13 Reorder the terms: 1 + 3t = 5(5 + 2t) + -13 1 + 3t = (5 * 5 + 2t * 5) + -13 1 + 3t = (25 + 10t) + -13 Reorder the terms: 1 + 3t = 25 + -13 + 10t Combine like terms: 25 + -13 = 12 1 + 3t = 12 + 10t Solving 1 + 3t = 12 + 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. 1 + 3t + -10t = 12 + 10t + -10t Combine like terms: 3t + -10t = -7t 1 + -7t = 12 + 10t + -10t Combine like terms: 10t + -10t = 0 1 + -7t = 12 + 0 1 + -7t = 12 Add '-1' to each side of the equation. 1 + -1 + -7t = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -7t = 12 + -1 -7t = 12 + -1 Combine like terms: 12 + -1 = 11 -7t = 11 Divide each side by '-7'. t = -1.571428571 Simplifying t = -1.571428571
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