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Simplifying p + 3 = 3(p + -5) Reorder the terms: 3 + p = 3(p + -5) Reorder the terms: 3 + p = 3(-5 + p) 3 + p = (-5 * 3 + p * 3) 3 + p = (-15 + 3p) Solving 3 + p = -15 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 3 + p + -3p = -15 + 3p + -3p Combine like terms: p + -3p = -2p 3 + -2p = -15 + 3p + -3p Combine like terms: 3p + -3p = 0 3 + -2p = -15 + 0 3 + -2p = -15 Add '-3' to each side of the equation. 3 + -3 + -2p = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -2p = -15 + -3 -2p = -15 + -3 Combine like terms: -15 + -3 = -18 -2p = -18 Divide each side by '-2'. p = 9 Simplifying p = 9
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