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Simplifying 5(9t + 3) = (5 + -6t) * 9 Reorder the terms: 5(3 + 9t) = (5 + -6t) * 9 (3 * 5 + 9t * 5) = (5 + -6t) * 9 (15 + 45t) = (5 + -6t) * 9 Reorder the terms for easier multiplication: 15 + 45t = 9(5 + -6t) 15 + 45t = (5 * 9 + -6t * 9) 15 + 45t = (45 + -54t) Solving 15 + 45t = 45 + -54t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '54t' to each side of the equation. 15 + 45t + 54t = 45 + -54t + 54t Combine like terms: 45t + 54t = 99t 15 + 99t = 45 + -54t + 54t Combine like terms: -54t + 54t = 0 15 + 99t = 45 + 0 15 + 99t = 45 Add '-15' to each side of the equation. 15 + -15 + 99t = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 99t = 45 + -15 99t = 45 + -15 Combine like terms: 45 + -15 = 30 99t = 30 Divide each side by '99'. t = 0.303030303 Simplifying t = 0.303030303
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