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Simplifying -5(-1p + 5) + 6p = p + -15 Reorder the terms: -5(5 + -1p) + 6p = p + -15 (5 * -5 + -1p * -5) + 6p = p + -15 (-25 + 5p) + 6p = p + -15 Combine like terms: 5p + 6p = 11p -25 + 11p = p + -15 Reorder the terms: -25 + 11p = -15 + p Solving -25 + 11p = -15 + 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. -25 + 11p + -1p = -15 + p + -1p Combine like terms: 11p + -1p = 10p -25 + 10p = -15 + p + -1p Combine like terms: p + -1p = 0 -25 + 10p = -15 + 0 -25 + 10p = -15 Add '25' to each side of the equation. -25 + 25 + 10p = -15 + 25 Combine like terms: -25 + 25 = 0 0 + 10p = -15 + 25 10p = -15 + 25 Combine like terms: -15 + 25 = 10 10p = 10 Divide each side by '10'. p = 1 Simplifying p = 1
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