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Simplifying 5(p + -7) = 5(11 + -1p) Reorder the terms: 5(-7 + p) = 5(11 + -1p) (-7 * 5 + p * 5) = 5(11 + -1p) (-35 + 5p) = 5(11 + -1p) -35 + 5p = (11 * 5 + -1p * 5) -35 + 5p = (55 + -5p) Solving -35 + 5p = 55 + -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. -35 + 5p + 5p = 55 + -5p + 5p Combine like terms: 5p + 5p = 10p -35 + 10p = 55 + -5p + 5p Combine like terms: -5p + 5p = 0 -35 + 10p = 55 + 0 -35 + 10p = 55 Add '35' to each side of the equation. -35 + 35 + 10p = 55 + 35 Combine like terms: -35 + 35 = 0 0 + 10p = 55 + 35 10p = 55 + 35 Combine like terms: 55 + 35 = 90 10p = 90 Divide each side by '10'. p = 9 Simplifying p = 9
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