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Simplifying p(p + -4) + 5p = p(p + -3) + 8 Reorder the terms: p(-4 + p) + 5p = p(p + -3) + 8 (-4 * p + p * p) + 5p = p(p + -3) + 8 (-4p + p2) + 5p = p(p + -3) + 8 Reorder the terms: -4p + 5p + p2 = p(p + -3) + 8 Combine like terms: -4p + 5p = 1p 1p + p2 = p(p + -3) + 8 Reorder the terms: 1p + p2 = p(-3 + p) + 8 1p + p2 = (-3 * p + p * p) + 8 1p + p2 = (-3p + p2) + 8 Reorder the terms: 1p + p2 = 8 + -3p + p2 Add '-1p2' to each side of the equation. 1p + p2 + -1p2 = 8 + -3p + p2 + -1p2 Combine like terms: p2 + -1p2 = 0 1p + 0 = 8 + -3p + p2 + -1p2 1p = 8 + -3p + p2 + -1p2 Combine like terms: p2 + -1p2 = 0 1p = 8 + -3p + 0 1p = 8 + -3p Solving 1p = 8 + -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. 1p + 3p = 8 + -3p + 3p Combine like terms: 1p + 3p = 4p 4p = 8 + -3p + 3p Combine like terms: -3p + 3p = 0 4p = 8 + 0 4p = 8 Divide each side by '4'. p = 2 Simplifying p = 2
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