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Simplifying 2(t + -4) + -5(2t + -5) = 40 + -7(3t + 5) Reorder the terms: 2(-4 + t) + -5(2t + -5) = 40 + -7(3t + 5) (-4 * 2 + t * 2) + -5(2t + -5) = 40 + -7(3t + 5) (-8 + 2t) + -5(2t + -5) = 40 + -7(3t + 5) Reorder the terms: -8 + 2t + -5(-5 + 2t) = 40 + -7(3t + 5) -8 + 2t + (-5 * -5 + 2t * -5) = 40 + -7(3t + 5) -8 + 2t + (25 + -10t) = 40 + -7(3t + 5) Reorder the terms: -8 + 25 + 2t + -10t = 40 + -7(3t + 5) Combine like terms: -8 + 25 = 17 17 + 2t + -10t = 40 + -7(3t + 5) Combine like terms: 2t + -10t = -8t 17 + -8t = 40 + -7(3t + 5) Reorder the terms: 17 + -8t = 40 + -7(5 + 3t) 17 + -8t = 40 + (5 * -7 + 3t * -7) 17 + -8t = 40 + (-35 + -21t) Combine like terms: 40 + -35 = 5 17 + -8t = 5 + -21t Solving 17 + -8t = 5 + -21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21t' to each side of the equation. 17 + -8t + 21t = 5 + -21t + 21t Combine like terms: -8t + 21t = 13t 17 + 13t = 5 + -21t + 21t Combine like terms: -21t + 21t = 0 17 + 13t = 5 + 0 17 + 13t = 5 Add '-17' to each side of the equation. 17 + -17 + 13t = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 13t = 5 + -17 13t = 5 + -17 Combine like terms: 5 + -17 = -12 13t = -12 Divide each side by '13'. t = -0.9230769231 Simplifying t = -0.9230769231
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