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Simplifying -3(4t + -5) + 2t = 3t + -9 Reorder the terms: -3(-5 + 4t) + 2t = 3t + -9 (-5 * -3 + 4t * -3) + 2t = 3t + -9 (15 + -12t) + 2t = 3t + -9 Combine like terms: -12t + 2t = -10t 15 + -10t = 3t + -9 Reorder the terms: 15 + -10t = -9 + 3t Solving 15 + -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. 15 + -10t + -3t = -9 + 3t + -3t Combine like terms: -10t + -3t = -13t 15 + -13t = -9 + 3t + -3t Combine like terms: 3t + -3t = 0 15 + -13t = -9 + 0 15 + -13t = -9 Add '-15' to each side of the equation. 15 + -15 + -13t = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -13t = -9 + -15 -13t = -9 + -15 Combine like terms: -9 + -15 = -24 -13t = -24 Divide each side by '-13'. t = 1.846153846 Simplifying t = 1.846153846
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