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Simplifying p(2p + 3) + 18 = 2p(p + -3) Reorder the terms: p(3 + 2p) + 18 = 2p(p + -3) (3 * p + 2p * p) + 18 = 2p(p + -3) (3p + 2p2) + 18 = 2p(p + -3) Reorder the terms: 18 + 3p + 2p2 = 2p(p + -3) Reorder the terms: 18 + 3p + 2p2 = 2p(-3 + p) 18 + 3p + 2p2 = (-3 * 2p + p * 2p) 18 + 3p + 2p2 = (-6p + 2p2) Add '-2p2' to each side of the equation. 18 + 3p + 2p2 + -2p2 = -6p + 2p2 + -2p2 Combine like terms: 2p2 + -2p2 = 0 18 + 3p + 0 = -6p + 2p2 + -2p2 18 + 3p = -6p + 2p2 + -2p2 Combine like terms: 2p2 + -2p2 = 0 18 + 3p = -6p + 0 18 + 3p = -6p Solving 18 + 3p = -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. 18 + 3p + 6p = -6p + 6p Combine like terms: 3p + 6p = 9p 18 + 9p = -6p + 6p Combine like terms: -6p + 6p = 0 18 + 9p = 0 Add '-18' to each side of the equation. 18 + -18 + 9p = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 9p = 0 + -18 9p = 0 + -18 Combine like terms: 0 + -18 = -18 9p = -18 Divide each side by '9'. p = -2 Simplifying p = -2
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