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Simplifying 2(t + 9) = 3(t + -8) Reorder the terms: 2(9 + t) = 3(t + -8) (9 * 2 + t * 2) = 3(t + -8) (18 + 2t) = 3(t + -8) Reorder the terms: 18 + 2t = 3(-8 + t) 18 + 2t = (-8 * 3 + t * 3) 18 + 2t = (-24 + 3t) Solving 18 + 2t = -24 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 18 + 2t + -3t = -24 + 3t + -3t Combine like terms: 2t + -3t = -1t 18 + -1t = -24 + 3t + -3t Combine like terms: 3t + -3t = 0 18 + -1t = -24 + 0 18 + -1t = -24 Add '-18' to each side of the equation. 18 + -18 + -1t = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -1t = -24 + -18 -1t = -24 + -18 Combine like terms: -24 + -18 = -42 -1t = -42 Divide each side by '-1'. t = 42 Simplifying t = 42
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