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Simplifying -9p + -3(2 + -6p) = 5(p + -5) -9p + (2 * -3 + -6p * -3) = 5(p + -5) -9p + (-6 + 18p) = 5(p + -5) Reorder the terms: -6 + -9p + 18p = 5(p + -5) Combine like terms: -9p + 18p = 9p -6 + 9p = 5(p + -5) Reorder the terms: -6 + 9p = 5(-5 + p) -6 + 9p = (-5 * 5 + p * 5) -6 + 9p = (-25 + 5p) Solving -6 + 9p = -25 + 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. -6 + 9p + -5p = -25 + 5p + -5p Combine like terms: 9p + -5p = 4p -6 + 4p = -25 + 5p + -5p Combine like terms: 5p + -5p = 0 -6 + 4p = -25 + 0 -6 + 4p = -25 Add '6' to each side of the equation. -6 + 6 + 4p = -25 + 6 Combine like terms: -6 + 6 = 0 0 + 4p = -25 + 6 4p = -25 + 6 Combine like terms: -25 + 6 = -19 4p = -19 Divide each side by '4'. p = -4.75 Simplifying p = -4.75
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