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Simplifying 4(p + 3) = (p + -2) + p + 18 Reorder the terms: 4(3 + p) = (p + -2) + p + 18 (3 * 4 + p * 4) = (p + -2) + p + 18 (12 + 4p) = (p + -2) + p + 18 Reorder the terms: 12 + 4p = (-2 + p) + p + 18 Remove parenthesis around (-2 + p) 12 + 4p = -2 + p + p + 18 Reorder the terms: 12 + 4p = -2 + 18 + p + p Combine like terms: -2 + 18 = 16 12 + 4p = 16 + p + p Combine like terms: p + p = 2p 12 + 4p = 16 + 2p Solving 12 + 4p = 16 + 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. 12 + 4p + -2p = 16 + 2p + -2p Combine like terms: 4p + -2p = 2p 12 + 2p = 16 + 2p + -2p Combine like terms: 2p + -2p = 0 12 + 2p = 16 + 0 12 + 2p = 16 Add '-12' to each side of the equation. 12 + -12 + 2p = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 2p = 16 + -12 2p = 16 + -12 Combine like terms: 16 + -12 = 4 2p = 4 Divide each side by '2'. p = 2 Simplifying p = 2
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