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Simplifying 5(3t + 6) + 6(2t + -1) = 0 Reorder the terms: 5(6 + 3t) + 6(2t + -1) = 0 (6 * 5 + 3t * 5) + 6(2t + -1) = 0 (30 + 15t) + 6(2t + -1) = 0 Reorder the terms: 30 + 15t + 6(-1 + 2t) = 0 30 + 15t + (-1 * 6 + 2t * 6) = 0 30 + 15t + (-6 + 12t) = 0 Reorder the terms: 30 + -6 + 15t + 12t = 0 Combine like terms: 30 + -6 = 24 24 + 15t + 12t = 0 Combine like terms: 15t + 12t = 27t 24 + 27t = 0 Solving 24 + 27t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 27t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 27t = 0 + -24 27t = 0 + -24 Combine like terms: 0 + -24 = -24 27t = -24 Divide each side by '27'. t = -0.8888888889 Simplifying t = -0.8888888889
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