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Simplifying -8 = 5(p + 4) + 2p Reorder the terms: -8 = 5(4 + p) + 2p -8 = (4 * 5 + p * 5) + 2p -8 = (20 + 5p) + 2p Combine like terms: 5p + 2p = 7p -8 = 20 + 7p Solving -8 = 20 + 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. -8 + -7p = 20 + 7p + -7p Combine like terms: 7p + -7p = 0 -8 + -7p = 20 + 0 -8 + -7p = 20 Add '8' to each side of the equation. -8 + 8 + -7p = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -7p = 20 + 8 -7p = 20 + 8 Combine like terms: 20 + 8 = 28 -7p = 28 Divide each side by '-7'. p = -4 Simplifying p = -4
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