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Simplifying 1 + -5(7p + -1) = 6 + -5p Reorder the terms: 1 + -5(-1 + 7p) = 6 + -5p 1 + (-1 * -5 + 7p * -5) = 6 + -5p 1 + (5 + -35p) = 6 + -5p Combine like terms: 1 + 5 = 6 6 + -35p = 6 + -5p Add '-6' to each side of the equation. 6 + -6 + -35p = 6 + -6 + -5p Combine like terms: 6 + -6 = 0 0 + -35p = 6 + -6 + -5p -35p = 6 + -6 + -5p Combine like terms: 6 + -6 = 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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