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Simplifying 5(p + -2) = 3(p + 4) Reorder the terms: 5(-2 + p) = 3(p + 4) (-2 * 5 + p * 5) = 3(p + 4) (-10 + 5p) = 3(p + 4) Reorder the terms: -10 + 5p = 3(4 + p) -10 + 5p = (4 * 3 + p * 3) -10 + 5p = (12 + 3p) Solving -10 + 5p = 12 + 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. -10 + 5p + -3p = 12 + 3p + -3p Combine like terms: 5p + -3p = 2p -10 + 2p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 -10 + 2p = 12 + 0 -10 + 2p = 12 Add '10' to each side of the equation. -10 + 10 + 2p = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = 12 + 10 2p = 12 + 10 Combine like terms: 12 + 10 = 22 2p = 22 Divide each side by '2'. p = 11 Simplifying p = 11
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