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Simplifying p + 1 = 5(p + -4) Reorder the terms: 1 + p = 5(p + -4) Reorder the terms: 1 + p = 5(-4 + p) 1 + p = (-4 * 5 + p * 5) 1 + p = (-20 + 5p) Solving 1 + p = -20 + 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. 1 + p + -5p = -20 + 5p + -5p Combine like terms: p + -5p = -4p 1 + -4p = -20 + 5p + -5p Combine like terms: 5p + -5p = 0 1 + -4p = -20 + 0 1 + -4p = -20 Add '-1' to each side of the equation. 1 + -1 + -4p = -20 + -1 Combine like terms: 1 + -1 = 0 0 + -4p = -20 + -1 -4p = -20 + -1 Combine like terms: -20 + -1 = -21 -4p = -21 Divide each side by '-4'. p = 5.25 Simplifying p = 5.25
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