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Simplifying -3(-13t + 9) = 5(9 + 6t) Reorder the terms: -3(9 + -13t) = 5(9 + 6t) (9 * -3 + -13t * -3) = 5(9 + 6t) (-27 + 39t) = 5(9 + 6t) -27 + 39t = (9 * 5 + 6t * 5) -27 + 39t = (45 + 30t) Solving -27 + 39t = 45 + 30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30t' to each side of the equation. -27 + 39t + -30t = 45 + 30t + -30t Combine like terms: 39t + -30t = 9t -27 + 9t = 45 + 30t + -30t Combine like terms: 30t + -30t = 0 -27 + 9t = 45 + 0 -27 + 9t = 45 Add '27' to each side of the equation. -27 + 27 + 9t = 45 + 27 Combine like terms: -27 + 27 = 0 0 + 9t = 45 + 27 9t = 45 + 27 Combine like terms: 45 + 27 = 72 9t = 72 Divide each side by '9'. t = 8 Simplifying t = 8
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