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Simplifying -5(2t + -4) + 6 = 3t + -3 Reorder the terms: -5(-4 + 2t) + 6 = 3t + -3 (-4 * -5 + 2t * -5) + 6 = 3t + -3 (20 + -10t) + 6 = 3t + -3 Reorder the terms: 20 + 6 + -10t = 3t + -3 Combine like terms: 20 + 6 = 26 26 + -10t = 3t + -3 Reorder the terms: 26 + -10t = -3 + 3t Solving 26 + -10t = -3 + 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. 26 + -10t + -3t = -3 + 3t + -3t Combine like terms: -10t + -3t = -13t 26 + -13t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 26 + -13t = -3 + 0 26 + -13t = -3 Add '-26' to each side of the equation. 26 + -26 + -13t = -3 + -26 Combine like terms: 26 + -26 = 0 0 + -13t = -3 + -26 -13t = -3 + -26 Combine like terms: -3 + -26 = -29 -13t = -29 Divide each side by '-13'. t = 2.230769231 Simplifying t = 2.230769231
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