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Simplifying 7(1 + -5p) + 8 = 15 + -5p (1 * 7 + -5p * 7) + 8 = 15 + -5p (7 + -35p) + 8 = 15 + -5p Reorder the terms: 7 + 8 + -35p = 15 + -5p Combine like terms: 7 + 8 = 15 15 + -35p = 15 + -5p Add '-15' to each side of the equation. 15 + -15 + -35p = 15 + -15 + -5p Combine like terms: 15 + -15 = 0 0 + -35p = 15 + -15 + -5p -35p = 15 + -15 + -5p Combine like terms: 15 + -15 = 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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