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Simplifying 3(t + -6) + -5(2t + -5) = 9 + -7(3t + 5) Reorder the terms: 3(-6 + t) + -5(2t + -5) = 9 + -7(3t + 5) (-6 * 3 + t * 3) + -5(2t + -5) = 9 + -7(3t + 5) (-18 + 3t) + -5(2t + -5) = 9 + -7(3t + 5) Reorder the terms: -18 + 3t + -5(-5 + 2t) = 9 + -7(3t + 5) -18 + 3t + (-5 * -5 + 2t * -5) = 9 + -7(3t + 5) -18 + 3t + (25 + -10t) = 9 + -7(3t + 5) Reorder the terms: -18 + 25 + 3t + -10t = 9 + -7(3t + 5) Combine like terms: -18 + 25 = 7 7 + 3t + -10t = 9 + -7(3t + 5) Combine like terms: 3t + -10t = -7t 7 + -7t = 9 + -7(3t + 5) Reorder the terms: 7 + -7t = 9 + -7(5 + 3t) 7 + -7t = 9 + (5 * -7 + 3t * -7) 7 + -7t = 9 + (-35 + -21t) Combine like terms: 9 + -35 = -26 7 + -7t = -26 + -21t Solving 7 + -7t = -26 + -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. 7 + -7t + 21t = -26 + -21t + 21t Combine like terms: -7t + 21t = 14t 7 + 14t = -26 + -21t + 21t Combine like terms: -21t + 21t = 0 7 + 14t = -26 + 0 7 + 14t = -26 Add '-7' to each side of the equation. 7 + -7 + 14t = -26 + -7 Combine like terms: 7 + -7 = 0 0 + 14t = -26 + -7 14t = -26 + -7 Combine like terms: -26 + -7 = -33 14t = -33 Divide each side by '14'. t = -2.357142857 Simplifying t = -2.357142857
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