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Simplifying 9(p + 1) = 2(p + -5) + 4p Reorder the terms: 9(1 + p) = 2(p + -5) + 4p (1 * 9 + p * 9) = 2(p + -5) + 4p (9 + 9p) = 2(p + -5) + 4p Reorder the terms: 9 + 9p = 2(-5 + p) + 4p 9 + 9p = (-5 * 2 + p * 2) + 4p 9 + 9p = (-10 + 2p) + 4p Combine like terms: 2p + 4p = 6p 9 + 9p = -10 + 6p Solving 9 + 9p = -10 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 9 + 9p + -6p = -10 + 6p + -6p Combine like terms: 9p + -6p = 3p 9 + 3p = -10 + 6p + -6p Combine like terms: 6p + -6p = 0 9 + 3p = -10 + 0 9 + 3p = -10 Add '-9' to each side of the equation. 9 + -9 + 3p = -10 + -9 Combine like terms: 9 + -9 = 0 0 + 3p = -10 + -9 3p = -10 + -9 Combine like terms: -10 + -9 = -19 3p = -19 Divide each side by '3'. p = -6.333333333 Simplifying p = -6.333333333
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