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Simplifying 13t + -1(5t + -2t) = 5(3t + -1) Combine like terms: 5t + -2t = 3t 13t + -1(3t) = 5(3t + -1) Remove parenthesis around (3t) 13t + -1 * 3t = 5(3t + -1) Multiply -1 * 3 13t + -3t = 5(3t + -1) Combine like terms: 13t + -3t = 10t 10t = 5(3t + -1) Reorder the terms: 10t = 5(-1 + 3t) 10t = (-1 * 5 + 3t * 5) 10t = (-5 + 15t) Solving 10t = -5 + 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. 10t + -15t = -5 + 15t + -15t Combine like terms: 10t + -15t = -5t -5t = -5 + 15t + -15t Combine like terms: 15t + -15t = 0 -5t = -5 + 0 -5t = -5 Divide each side by '-5'. t = 1 Simplifying t = 1
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