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Simplifying 3(t + 5) + 3(t + -2) = -9 Reorder the terms: 3(5 + t) + 3(t + -2) = -9 (5 * 3 + t * 3) + 3(t + -2) = -9 (15 + 3t) + 3(t + -2) = -9 Reorder the terms: 15 + 3t + 3(-2 + t) = -9 15 + 3t + (-2 * 3 + t * 3) = -9 15 + 3t + (-6 + 3t) = -9 Reorder the terms: 15 + -6 + 3t + 3t = -9 Combine like terms: 15 + -6 = 9 9 + 3t + 3t = -9 Combine like terms: 3t + 3t = 6t 9 + 6t = -9 Solving 9 + 6t = -9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6t = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 6t = -9 + -9 6t = -9 + -9 Combine like terms: -9 + -9 = -18 6t = -18 Divide each side by '6'. t = -3 Simplifying t = -3
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