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Simplifying -15p + -5(3 + -5p) = 5(p + -4) + -40 -15p + (3 * -5 + -5p * -5) = 5(p + -4) + -40 -15p + (-15 + 25p) = 5(p + -4) + -40 Reorder the terms: -15 + -15p + 25p = 5(p + -4) + -40 Combine like terms: -15p + 25p = 10p -15 + 10p = 5(p + -4) + -40 Reorder the terms: -15 + 10p = 5(-4 + p) + -40 -15 + 10p = (-4 * 5 + p * 5) + -40 -15 + 10p = (-20 + 5p) + -40 Reorder the terms: -15 + 10p = -20 + -40 + 5p Combine like terms: -20 + -40 = -60 -15 + 10p = -60 + 5p Solving -15 + 10p = -60 + 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. -15 + 10p + -5p = -60 + 5p + -5p Combine like terms: 10p + -5p = 5p -15 + 5p = -60 + 5p + -5p Combine like terms: 5p + -5p = 0 -15 + 5p = -60 + 0 -15 + 5p = -60 Add '15' to each side of the equation. -15 + 15 + 5p = -60 + 15 Combine like terms: -15 + 15 = 0 0 + 5p = -60 + 15 5p = -60 + 15 Combine like terms: -60 + 15 = -45 5p = -45 Divide each side by '5'. p = -9 Simplifying p = -9
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