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Simplifying 5(p + -4) = 7(p + 8) Reorder the terms: 5(-4 + p) = 7(p + 8) (-4 * 5 + p * 5) = 7(p + 8) (-20 + 5p) = 7(p + 8) Reorder the terms: -20 + 5p = 7(8 + p) -20 + 5p = (8 * 7 + p * 7) -20 + 5p = (56 + 7p) Solving -20 + 5p = 56 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -20 + 5p + -7p = 56 + 7p + -7p Combine like terms: 5p + -7p = -2p -20 + -2p = 56 + 7p + -7p Combine like terms: 7p + -7p = 0 -20 + -2p = 56 + 0 -20 + -2p = 56 Add '20' to each side of the equation. -20 + 20 + -2p = 56 + 20 Combine like terms: -20 + 20 = 0 0 + -2p = 56 + 20 -2p = 56 + 20 Combine like terms: 56 + 20 = 76 -2p = 76 Divide each side by '-2'. p = -38 Simplifying p = -38
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