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Simplifying 90(t + 15) = 120t Reorder the terms: 90(15 + t) = 120t (15 * 90 + t * 90) = 120t (1350 + 90t) = 120t Solving 1350 + 90t = 120t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-120t' to each side of the equation. 1350 + 90t + -120t = 120t + -120t Combine like terms: 90t + -120t = -30t 1350 + -30t = 120t + -120t Combine like terms: 120t + -120t = 0 1350 + -30t = 0 Add '-1350' to each side of the equation. 1350 + -1350 + -30t = 0 + -1350 Combine like terms: 1350 + -1350 = 0 0 + -30t = 0 + -1350 -30t = 0 + -1350 Combine like terms: 0 + -1350 = -1350 -30t = -1350 Divide each side by '-30'. t = 45 Simplifying t = 45
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