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Simplifying 5(2t + -2) + 3 = 3(3t + 2) Reorder the terms: 5(-2 + 2t) + 3 = 3(3t + 2) (-2 * 5 + 2t * 5) + 3 = 3(3t + 2) (-10 + 10t) + 3 = 3(3t + 2) Reorder the terms: -10 + 3 + 10t = 3(3t + 2) Combine like terms: -10 + 3 = -7 -7 + 10t = 3(3t + 2) Reorder the terms: -7 + 10t = 3(2 + 3t) -7 + 10t = (2 * 3 + 3t * 3) -7 + 10t = (6 + 9t) Solving -7 + 10t = 6 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -7 + 10t + -9t = 6 + 9t + -9t Combine like terms: 10t + -9t = 1t -7 + 1t = 6 + 9t + -9t Combine like terms: 9t + -9t = 0 -7 + 1t = 6 + 0 -7 + 1t = 6 Add '7' to each side of the equation. -7 + 7 + 1t = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 1t = 6 + 7 1t = 6 + 7 Combine like terms: 6 + 7 = 13 1t = 13 Divide each side by '1'. t = 13 Simplifying t = 13
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