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Simplifying 30p + (1 + -1p) = 7p + (1 + -1p) Remove parenthesis around (1 + -1p) 30p + 1 + -1p = 7p + (1 + -1p) Reorder the terms: 1 + 30p + -1p = 7p + (1 + -1p) Combine like terms: 30p + -1p = 29p 1 + 29p = 7p + (1 + -1p) Remove parenthesis around (1 + -1p) 1 + 29p = 7p + 1 + -1p Reorder the terms: 1 + 29p = 1 + 7p + -1p Combine like terms: 7p + -1p = 6p 1 + 29p = 1 + 6p Add '-1' to each side of the equation. 1 + -1 + 29p = 1 + -1 + 6p Combine like terms: 1 + -1 = 0 0 + 29p = 1 + -1 + 6p 29p = 1 + -1 + 6p Combine like terms: 1 + -1 = 0 29p = 0 + 6p 29p = 6p Solving 29p = 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 29p + -6p = 6p + -6p Combine like terms: 29p + -6p = 23p 23p = 6p + -6p Combine like terms: 6p + -6p = 0 23p = 0 Divide each side by '23'. p = 0 Simplifying p = 0
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