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Simplifying 7(t + 4) + 3 = 5(2t + 3) + -12 Reorder the terms: 7(4 + t) + 3 = 5(2t + 3) + -12 (4 * 7 + t * 7) + 3 = 5(2t + 3) + -12 (28 + 7t) + 3 = 5(2t + 3) + -12 Reorder the terms: 28 + 3 + 7t = 5(2t + 3) + -12 Combine like terms: 28 + 3 = 31 31 + 7t = 5(2t + 3) + -12 Reorder the terms: 31 + 7t = 5(3 + 2t) + -12 31 + 7t = (3 * 5 + 2t * 5) + -12 31 + 7t = (15 + 10t) + -12 Reorder the terms: 31 + 7t = 15 + -12 + 10t Combine like terms: 15 + -12 = 3 31 + 7t = 3 + 10t Solving 31 + 7t = 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. 31 + 7t + -10t = 3 + 10t + -10t Combine like terms: 7t + -10t = -3t 31 + -3t = 3 + 10t + -10t Combine like terms: 10t + -10t = 0 31 + -3t = 3 + 0 31 + -3t = 3 Add '-31' to each side of the equation. 31 + -31 + -3t = 3 + -31 Combine like terms: 31 + -31 = 0 0 + -3t = 3 + -31 -3t = 3 + -31 Combine like terms: 3 + -31 = -28 -3t = -28 Divide each side by '-3'. t = 9.333333333 Simplifying t = 9.333333333
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