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Simplifying 5(2t + -1) = 3(t + 3) Reorder the terms: 5(-1 + 2t) = 3(t + 3) (-1 * 5 + 2t * 5) = 3(t + 3) (-5 + 10t) = 3(t + 3) Reorder the terms: -5 + 10t = 3(3 + t) -5 + 10t = (3 * 3 + t * 3) -5 + 10t = (9 + 3t) Solving -5 + 10t = 9 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -5 + 10t + -3t = 9 + 3t + -3t Combine like terms: 10t + -3t = 7t -5 + 7t = 9 + 3t + -3t Combine like terms: 3t + -3t = 0 -5 + 7t = 9 + 0 -5 + 7t = 9 Add '5' to each side of the equation. -5 + 5 + 7t = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7t = 9 + 5 7t = 9 + 5 Combine like terms: 9 + 5 = 14 7t = 14 Divide each side by '7'. t = 2 Simplifying t = 2
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