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Simplifying 8(2t + -1) = 5(3t + 7) Reorder the terms: 8(-1 + 2t) = 5(3t + 7) (-1 * 8 + 2t * 8) = 5(3t + 7) (-8 + 16t) = 5(3t + 7) Reorder the terms: -8 + 16t = 5(7 + 3t) -8 + 16t = (7 * 5 + 3t * 5) -8 + 16t = (35 + 15t) Solving -8 + 16t = 35 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. -8 + 16t + -15t = 35 + 15t + -15t Combine like terms: 16t + -15t = 1t -8 + 1t = 35 + 15t + -15t Combine like terms: 15t + -15t = 0 -8 + 1t = 35 + 0 -8 + 1t = 35 Add '8' to each side of the equation. -8 + 8 + 1t = 35 + 8 Combine like terms: -8 + 8 = 0 0 + 1t = 35 + 8 1t = 35 + 8 Combine like terms: 35 + 8 = 43 1t = 43 Divide each side by '1'. t = 43 Simplifying t = 43
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