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Simplifying -1(7p + 5) = 1p + 40 Reorder the terms: -1(5 + 7p) = 1p + 40 (5 * -1 + 7p * -1) = 1p + 40 (-5 + -7p) = 1p + 40 Reorder the terms: -5 + -7p = 40 + 1p Solving -5 + -7p = 40 + 1p 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. -5 + -7p + -1p = 40 + 1p + -1p Combine like terms: -7p + -1p = -8p -5 + -8p = 40 + 1p + -1p Combine like terms: 1p + -1p = 0 -5 + -8p = 40 + 0 -5 + -8p = 40 Add '5' to each side of the equation. -5 + 5 + -8p = 40 + 5 Combine like terms: -5 + 5 = 0 0 + -8p = 40 + 5 -8p = 40 + 5 Combine like terms: 40 + 5 = 45 -8p = 45 Divide each side by '-8'. p = -5.625 Simplifying p = -5.625
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