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Simplifying p + 8(p + -4) = 18 + -1p Reorder the terms: p + 8(-4 + p) = 18 + -1p p + (-4 * 8 + p * 8) = 18 + -1p p + (-32 + 8p) = 18 + -1p Reorder the terms: -32 + p + 8p = 18 + -1p Combine like terms: p + 8p = 9p -32 + 9p = 18 + -1p Solving -32 + 9p = 18 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -32 + 9p + p = 18 + -1p + p Combine like terms: 9p + p = 10p -32 + 10p = 18 + -1p + p Combine like terms: -1p + p = 0 -32 + 10p = 18 + 0 -32 + 10p = 18 Add '32' to each side of the equation. -32 + 32 + 10p = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 10p = 18 + 32 10p = 18 + 32 Combine like terms: 18 + 32 = 50 10p = 50 Divide each side by '10'. p = 5 Simplifying p = 5
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