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Simplifying 3(2t + 5) = 2(4t + -5) Reorder the terms: 3(5 + 2t) = 2(4t + -5) (5 * 3 + 2t * 3) = 2(4t + -5) (15 + 6t) = 2(4t + -5) Reorder the terms: 15 + 6t = 2(-5 + 4t) 15 + 6t = (-5 * 2 + 4t * 2) 15 + 6t = (-10 + 8t) Solving 15 + 6t = -10 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 15 + 6t + -8t = -10 + 8t + -8t Combine like terms: 6t + -8t = -2t 15 + -2t = -10 + 8t + -8t Combine like terms: 8t + -8t = 0 15 + -2t = -10 + 0 15 + -2t = -10 Add '-15' to each side of the equation. 15 + -15 + -2t = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -2t = -10 + -15 -2t = -10 + -15 Combine like terms: -10 + -15 = -25 -2t = -25 Divide each side by '-2'. t = 12.5 Simplifying t = 12.5
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