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Simplifying 5(2t + -1) + 3(3t + -4) = 15t Reorder the terms: 5(-1 + 2t) + 3(3t + -4) = 15t (-1 * 5 + 2t * 5) + 3(3t + -4) = 15t (-5 + 10t) + 3(3t + -4) = 15t Reorder the terms: -5 + 10t + 3(-4 + 3t) = 15t -5 + 10t + (-4 * 3 + 3t * 3) = 15t -5 + 10t + (-12 + 9t) = 15t Reorder the terms: -5 + -12 + 10t + 9t = 15t Combine like terms: -5 + -12 = -17 -17 + 10t + 9t = 15t Combine like terms: 10t + 9t = 19t -17 + 19t = 15t Solving -17 + 19t = 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. -17 + 19t + -15t = 15t + -15t Combine like terms: 19t + -15t = 4t -17 + 4t = 15t + -15t Combine like terms: 15t + -15t = 0 -17 + 4t = 0 Add '17' to each side of the equation. -17 + 17 + 4t = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 4t = 0 + 17 4t = 0 + 17 Combine like terms: 0 + 17 = 17 4t = 17 Divide each side by '4'. t = 4.25 Simplifying t = 4.25
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