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Simplifying 9(p + -4) = 5p + 8 Reorder the terms: 9(-4 + p) = 5p + 8 (-4 * 9 + p * 9) = 5p + 8 (-36 + 9p) = 5p + 8 Reorder the terms: -36 + 9p = 8 + 5p Solving -36 + 9p = 8 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -36 + 9p + -5p = 8 + 5p + -5p Combine like terms: 9p + -5p = 4p -36 + 4p = 8 + 5p + -5p Combine like terms: 5p + -5p = 0 -36 + 4p = 8 + 0 -36 + 4p = 8 Add '36' to each side of the equation. -36 + 36 + 4p = 8 + 36 Combine like terms: -36 + 36 = 0 0 + 4p = 8 + 36 4p = 8 + 36 Combine like terms: 8 + 36 = 44 4p = 44 Divide each side by '4'. p = 11 Simplifying p = 11
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