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Simplifying 15t + 27t + -24 = 30t Reorder the terms: -24 + 15t + 27t = 30t Combine like terms: 15t + 27t = 42t -24 + 42t = 30t Solving -24 + 42t = 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. -24 + 42t + -30t = 30t + -30t Combine like terms: 42t + -30t = 12t -24 + 12t = 30t + -30t Combine like terms: 30t + -30t = 0 -24 + 12t = 0 Add '24' to each side of the equation. -24 + 24 + 12t = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 12t = 0 + 24 12t = 0 + 24 Combine like terms: 0 + 24 = 24 12t = 24 Divide each side by '12'. t = 2 Simplifying t = 2
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