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