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Simplifying 9(20 + -12t) = 8(6 + 9t) + -24 (20 * 9 + -12t * 9) = 8(6 + 9t) + -24 (180 + -108t) = 8(6 + 9t) + -24 180 + -108t = (6 * 8 + 9t * 8) + -24 180 + -108t = (48 + 72t) + -24 Reorder the terms: 180 + -108t = 48 + -24 + 72t Combine like terms: 48 + -24 = 24 180 + -108t = 24 + 72t Solving 180 + -108t = 24 + 72t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-72t' to each side of the equation. 180 + -108t + -72t = 24 + 72t + -72t Combine like terms: -108t + -72t = -180t 180 + -180t = 24 + 72t + -72t Combine like terms: 72t + -72t = 0 180 + -180t = 24 + 0 180 + -180t = 24 Add '-180' to each side of the equation. 180 + -180 + -180t = 24 + -180 Combine like terms: 180 + -180 = 0 0 + -180t = 24 + -180 -180t = 24 + -180 Combine like terms: 24 + -180 = -156 -180t = -156 Divide each side by '-180'. t = 0.8666666667 Simplifying t = 0.8666666667
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