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Simplifying -1(7p + 1) + -1 = -5 + p Reorder the terms: -1(1 + 7p) + -1 = -5 + p (1 * -1 + 7p * -1) + -1 = -5 + p (-1 + -7p) + -1 = -5 + p Reorder the terms: -1 + -1 + -7p = -5 + p Combine like terms: -1 + -1 = -2 -2 + -7p = -5 + p Solving -2 + -7p = -5 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -2 + -7p + -1p = -5 + p + -1p Combine like terms: -7p + -1p = -8p -2 + -8p = -5 + p + -1p Combine like terms: p + -1p = 0 -2 + -8p = -5 + 0 -2 + -8p = -5 Add '2' to each side of the equation. -2 + 2 + -8p = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -8p = -5 + 2 -8p = -5 + 2 Combine like terms: -5 + 2 = -3 -8p = -3 Divide each side by '-8'. p = 0.375 Simplifying p = 0.375
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