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Simplifying 13(t + -2) + 15t = 6(3t + 5) + -12 Reorder the terms: 13(-2 + t) + 15t = 6(3t + 5) + -12 (-2 * 13 + t * 13) + 15t = 6(3t + 5) + -12 (-26 + 13t) + 15t = 6(3t + 5) + -12 Combine like terms: 13t + 15t = 28t -26 + 28t = 6(3t + 5) + -12 Reorder the terms: -26 + 28t = 6(5 + 3t) + -12 -26 + 28t = (5 * 6 + 3t * 6) + -12 -26 + 28t = (30 + 18t) + -12 Reorder the terms: -26 + 28t = 30 + -12 + 18t Combine like terms: 30 + -12 = 18 -26 + 28t = 18 + 18t Solving -26 + 28t = 18 + 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. -26 + 28t + -18t = 18 + 18t + -18t Combine like terms: 28t + -18t = 10t -26 + 10t = 18 + 18t + -18t Combine like terms: 18t + -18t = 0 -26 + 10t = 18 + 0 -26 + 10t = 18 Add '26' to each side of the equation. -26 + 26 + 10t = 18 + 26 Combine like terms: -26 + 26 = 0 0 + 10t = 18 + 26 10t = 18 + 26 Combine like terms: 18 + 26 = 44 10t = 44 Divide each side by '10'. t = 4.4 Simplifying t = 4.4
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