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Simplifying 5(4 + -1p) = (p + 4) (4 * 5 + -1p * 5) = (p + 4) (20 + -5p) = (p + 4) Reorder the terms: 20 + -5p = (4 + p) Remove parenthesis around (4 + p) 20 + -5p = 4 + p Solving 20 + -5p = 4 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 20 + -5p + -1p = 4 + p + -1p Combine like terms: -5p + -1p = -6p 20 + -6p = 4 + p + -1p Combine like terms: p + -1p = 0 20 + -6p = 4 + 0 20 + -6p = 4 Add '-20' to each side of the equation. 20 + -20 + -6p = 4 + -20 Combine like terms: 20 + -20 = 0 0 + -6p = 4 + -20 -6p = 4 + -20 Combine like terms: 4 + -20 = -16 -6p = -16 Divide each side by '-6'. p = 2.666666667 Simplifying p = 2.666666667
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