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Simplifying 15(t + -2) + 3 = 6(3t + 4) + -10 Reorder the terms: 15(-2 + t) + 3 = 6(3t + 4) + -10 (-2 * 15 + t * 15) + 3 = 6(3t + 4) + -10 (-30 + 15t) + 3 = 6(3t + 4) + -10 Reorder the terms: -30 + 3 + 15t = 6(3t + 4) + -10 Combine like terms: -30 + 3 = -27 -27 + 15t = 6(3t + 4) + -10 Reorder the terms: -27 + 15t = 6(4 + 3t) + -10 -27 + 15t = (4 * 6 + 3t * 6) + -10 -27 + 15t = (24 + 18t) + -10 Reorder the terms: -27 + 15t = 24 + -10 + 18t Combine like terms: 24 + -10 = 14 -27 + 15t = 14 + 18t Solving -27 + 15t = 14 + 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. -27 + 15t + -18t = 14 + 18t + -18t Combine like terms: 15t + -18t = -3t -27 + -3t = 14 + 18t + -18t Combine like terms: 18t + -18t = 0 -27 + -3t = 14 + 0 -27 + -3t = 14 Add '27' to each side of the equation. -27 + 27 + -3t = 14 + 27 Combine like terms: -27 + 27 = 0 0 + -3t = 14 + 27 -3t = 14 + 27 Combine like terms: 14 + 27 = 41 -3t = 41 Divide each side by '-3'. t = -13.66666667 Simplifying t = -13.66666667
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