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Simplifying 3(5 + -10t) = 8(8t + 16) (5 * 3 + -10t * 3) = 8(8t + 16) (15 + -30t) = 8(8t + 16) Reorder the terms: 15 + -30t = 8(16 + 8t) 15 + -30t = (16 * 8 + 8t * 8) 15 + -30t = (128 + 64t) Solving 15 + -30t = 128 + 64t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-64t' to each side of the equation. 15 + -30t + -64t = 128 + 64t + -64t Combine like terms: -30t + -64t = -94t 15 + -94t = 128 + 64t + -64t Combine like terms: 64t + -64t = 0 15 + -94t = 128 + 0 15 + -94t = 128 Add '-15' to each side of the equation. 15 + -15 + -94t = 128 + -15 Combine like terms: 15 + -15 = 0 0 + -94t = 128 + -15 -94t = 128 + -15 Combine like terms: 128 + -15 = 113 -94t = 113 Divide each side by '-94'. t = -1.20212766 Simplifying t = -1.20212766
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