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Simplifying 5(1 + -7p) = -5p + 5 (1 * 5 + -7p * 5) = -5p + 5 (5 + -35p) = -5p + 5 Reorder the terms: 5 + -35p = 5 + -5p Add '-5' to each side of the equation. 5 + -5 + -35p = 5 + -5 + -5p Combine like terms: 5 + -5 = 0 0 + -35p = 5 + -5 + -5p -35p = 5 + -5 + -5p Combine like terms: 5 + -5 = 0 -35p = 0 + -5p -35p = -5p Solving -35p = -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. -35p + 5p = -5p + 5p Combine like terms: -35p + 5p = -30p -30p = -5p + 5p Combine like terms: -5p + 5p = 0 -30p = 0 Divide each side by '-30'. p = 0.0 Simplifying p = 0.0
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