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Simplifying 7(p + 3) + 9 = (p + -2) + -3p Reorder the terms: 7(3 + p) + 9 = (p + -2) + -3p (3 * 7 + p * 7) + 9 = (p + -2) + -3p (21 + 7p) + 9 = (p + -2) + -3p Reorder the terms: 21 + 9 + 7p = (p + -2) + -3p Combine like terms: 21 + 9 = 30 30 + 7p = (p + -2) + -3p Reorder the terms: 30 + 7p = (-2 + p) + -3p Remove parenthesis around (-2 + p) 30 + 7p = -2 + p + -3p Combine like terms: p + -3p = -2p 30 + 7p = -2 + -2p Solving 30 + 7p = -2 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 30 + 7p + 2p = -2 + -2p + 2p Combine like terms: 7p + 2p = 9p 30 + 9p = -2 + -2p + 2p Combine like terms: -2p + 2p = 0 30 + 9p = -2 + 0 30 + 9p = -2 Add '-30' to each side of the equation. 30 + -30 + 9p = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 9p = -2 + -30 9p = -2 + -30 Combine like terms: -2 + -30 = -32 9p = -32 Divide each side by '9'. p = -3.555555556 Simplifying p = -3.555555556
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