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Simplifying 9(t + 2) = 5(t + -3) Reorder the terms: 9(2 + t) = 5(t + -3) (2 * 9 + t * 9) = 5(t + -3) (18 + 9t) = 5(t + -3) Reorder the terms: 18 + 9t = 5(-3 + t) 18 + 9t = (-3 * 5 + t * 5) 18 + 9t = (-15 + 5t) Solving 18 + 9t = -15 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 18 + 9t + -5t = -15 + 5t + -5t Combine like terms: 9t + -5t = 4t 18 + 4t = -15 + 5t + -5t Combine like terms: 5t + -5t = 0 18 + 4t = -15 + 0 18 + 4t = -15 Add '-18' to each side of the equation. 18 + -18 + 4t = -15 + -18 Combine like terms: 18 + -18 = 0 0 + 4t = -15 + -18 4t = -15 + -18 Combine like terms: -15 + -18 = -33 4t = -33 Divide each side by '4'. t = -8.25 Simplifying t = -8.25
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