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Simplifying -7p + 5(2p + 1) = 5 + 5p Reorder the terms: -7p + 5(1 + 2p) = 5 + 5p -7p + (1 * 5 + 2p * 5) = 5 + 5p -7p + (5 + 10p) = 5 + 5p Reorder the terms: 5 + -7p + 10p = 5 + 5p Combine like terms: -7p + 10p = 3p 5 + 3p = 5 + 5p Add '-5' to each side of the equation. 5 + -5 + 3p = 5 + -5 + 5p Combine like terms: 5 + -5 = 0 0 + 3p = 5 + -5 + 5p 3p = 5 + -5 + 5p Combine like terms: 5 + -5 = 0 3p = 0 + 5p 3p = 5p Solving 3p = 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. 3p + -5p = 5p + -5p Combine like terms: 3p + -5p = -2p -2p = 5p + -5p Combine like terms: 5p + -5p = 0 -2p = 0 Divide each side by '-2'. p = 0 Simplifying p = 0
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