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Simplifying -9(t + -2) = 0.75(24 + -8t) Reorder the terms: -9(-2 + t) = 0.75(24 + -8t) (-2 * -9 + t * -9) = 0.75(24 + -8t) (18 + -9t) = 0.75(24 + -8t) 18 + -9t = (24 * 0.75 + -8t * 0.75) 18 + -9t = (18 + -6t) Add '-18' to each side of the equation. 18 + -18 + -9t = 18 + -18 + -6t Combine like terms: 18 + -18 = 0 0 + -9t = 18 + -18 + -6t -9t = 18 + -18 + -6t Combine like terms: 18 + -18 = 0 -9t = 0 + -6t -9t = -6t Solving -9t = -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. -9t + 6t = -6t + 6t Combine like terms: -9t + 6t = -3t -3t = -6t + 6t Combine like terms: -6t + 6t = 0 -3t = 0 Divide each side by '-3'. t = 0 Simplifying t = 0
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