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Simplifying 4(2t + -1) = 5(t + 1) Reorder the terms: 4(-1 + 2t) = 5(t + 1) (-1 * 4 + 2t * 4) = 5(t + 1) (-4 + 8t) = 5(t + 1) Reorder the terms: -4 + 8t = 5(1 + t) -4 + 8t = (1 * 5 + t * 5) -4 + 8t = (5 + 5t) Solving -4 + 8t = 5 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -4 + 8t + -5t = 5 + 5t + -5t Combine like terms: 8t + -5t = 3t -4 + 3t = 5 + 5t + -5t Combine like terms: 5t + -5t = 0 -4 + 3t = 5 + 0 -4 + 3t = 5 Add '4' to each side of the equation. -4 + 4 + 3t = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 3t = 5 + 4 3t = 5 + 4 Combine like terms: 5 + 4 = 9 3t = 9 Divide each side by '3'. t = 3 Simplifying t = 3
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