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Simplifying 3(3t + -10) + 6t = 2(t + 5) + -1 Reorder the terms: 3(-10 + 3t) + 6t = 2(t + 5) + -1 (-10 * 3 + 3t * 3) + 6t = 2(t + 5) + -1 (-30 + 9t) + 6t = 2(t + 5) + -1 Combine like terms: 9t + 6t = 15t -30 + 15t = 2(t + 5) + -1 Reorder the terms: -30 + 15t = 2(5 + t) + -1 -30 + 15t = (5 * 2 + t * 2) + -1 -30 + 15t = (10 + 2t) + -1 Reorder the terms: -30 + 15t = 10 + -1 + 2t Combine like terms: 10 + -1 = 9 -30 + 15t = 9 + 2t Solving -30 + 15t = 9 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -30 + 15t + -2t = 9 + 2t + -2t Combine like terms: 15t + -2t = 13t -30 + 13t = 9 + 2t + -2t Combine like terms: 2t + -2t = 0 -30 + 13t = 9 + 0 -30 + 13t = 9 Add '30' to each side of the equation. -30 + 30 + 13t = 9 + 30 Combine like terms: -30 + 30 = 0 0 + 13t = 9 + 30 13t = 9 + 30 Combine like terms: 9 + 30 = 39 13t = 39 Divide each side by '13'. t = 3 Simplifying t = 3
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