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Simplifying 1(t + -3) + 7t = 6(3t + 5) + -8 Reorder the terms: 1(-3 + t) + 7t = 6(3t + 5) + -8 (-3 * 1 + t * 1) + 7t = 6(3t + 5) + -8 (-3 + 1t) + 7t = 6(3t + 5) + -8 Combine like terms: 1t + 7t = 8t -3 + 8t = 6(3t + 5) + -8 Reorder the terms: -3 + 8t = 6(5 + 3t) + -8 -3 + 8t = (5 * 6 + 3t * 6) + -8 -3 + 8t = (30 + 18t) + -8 Reorder the terms: -3 + 8t = 30 + -8 + 18t Combine like terms: 30 + -8 = 22 -3 + 8t = 22 + 18t Solving -3 + 8t = 22 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -3 + 8t + -18t = 22 + 18t + -18t Combine like terms: 8t + -18t = -10t -3 + -10t = 22 + 18t + -18t Combine like terms: 18t + -18t = 0 -3 + -10t = 22 + 0 -3 + -10t = 22 Add '3' to each side of the equation. -3 + 3 + -10t = 22 + 3 Combine like terms: -3 + 3 = 0 0 + -10t = 22 + 3 -10t = 22 + 3 Combine like terms: 22 + 3 = 25 -10t = 25 Divide each side by '-10'. t = -2.5 Simplifying t = -2.5
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