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Simplifying 6(4 + -1p) + -3(1 + p) = 1 (4 * 6 + -1p * 6) + -3(1 + p) = 1 (24 + -6p) + -3(1 + p) = 1 24 + -6p + (1 * -3 + p * -3) = 1 24 + -6p + (-3 + -3p) = 1 Reorder the terms: 24 + -3 + -6p + -3p = 1 Combine like terms: 24 + -3 = 21 21 + -6p + -3p = 1 Combine like terms: -6p + -3p = -9p 21 + -9p = 1 Solving 21 + -9p = 1 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -9p = 1 + -21 Combine like terms: 21 + -21 = 0 0 + -9p = 1 + -21 -9p = 1 + -21 Combine like terms: 1 + -21 = -20 -9p = -20 Divide each side by '-9'. p = 2.222222222 Simplifying p = 2.222222222
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