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Simplifying 3(t + -3) = 5(2t + -1) Reorder the terms: 3(-3 + t) = 5(2t + -1) (-3 * 3 + t * 3) = 5(2t + -1) (-9 + 3t) = 5(2t + -1) Reorder the terms: -9 + 3t = 5(-1 + 2t) -9 + 3t = (-1 * 5 + 2t * 5) -9 + 3t = (-5 + 10t) Solving -9 + 3t = -5 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -9 + 3t + -10t = -5 + 10t + -10t Combine like terms: 3t + -10t = -7t -9 + -7t = -5 + 10t + -10t Combine like terms: 10t + -10t = 0 -9 + -7t = -5 + 0 -9 + -7t = -5 Add '9' to each side of the equation. -9 + 9 + -7t = -5 + 9 Combine like terms: -9 + 9 = 0 0 + -7t = -5 + 9 -7t = -5 + 9 Combine like terms: -5 + 9 = 4 -7t = 4 Divide each side by '-7'. t = -0.5714285714 Simplifying t = -0.5714285714
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