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Simplifying 3(t + 8) = -2t + 9 Reorder the terms: 3(8 + t) = -2t + 9 (8 * 3 + t * 3) = -2t + 9 (24 + 3t) = -2t + 9 Reorder the terms: 24 + 3t = 9 + -2t Solving 24 + 3t = 9 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 24 + 3t + 2t = 9 + -2t + 2t Combine like terms: 3t + 2t = 5t 24 + 5t = 9 + -2t + 2t Combine like terms: -2t + 2t = 0 24 + 5t = 9 + 0 24 + 5t = 9 Add '-24' to each side of the equation. 24 + -24 + 5t = 9 + -24 Combine like terms: 24 + -24 = 0 0 + 5t = 9 + -24 5t = 9 + -24 Combine like terms: 9 + -24 = -15 5t = -15 Divide each side by '5'. t = -3 Simplifying t = -3
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