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Simplifying 5(20 + p) = 30 + p (20 * 5 + p * 5) = 30 + p (100 + 5p) = 30 + p Solving 100 + 5p = 30 + 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. 100 + 5p + -1p = 30 + p + -1p Combine like terms: 5p + -1p = 4p 100 + 4p = 30 + p + -1p Combine like terms: p + -1p = 0 100 + 4p = 30 + 0 100 + 4p = 30 Add '-100' to each side of the equation. 100 + -100 + 4p = 30 + -100 Combine like terms: 100 + -100 = 0 0 + 4p = 30 + -100 4p = 30 + -100 Combine like terms: 30 + -100 = -70 4p = -70 Divide each side by '4'. p = -17.5 Simplifying p = -17.5
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