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