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Simplifying -11p + -5(3 + -4p) = 5(p + -4) + -35 -11p + (3 * -5 + -4p * -5) = 5(p + -4) + -35 -11p + (-15 + 20p) = 5(p + -4) + -35 Reorder the terms: -15 + -11p + 20p = 5(p + -4) + -35 Combine like terms: -11p + 20p = 9p -15 + 9p = 5(p + -4) + -35 Reorder the terms: -15 + 9p = 5(-4 + p) + -35 -15 + 9p = (-4 * 5 + p * 5) + -35 -15 + 9p = (-20 + 5p) + -35 Reorder the terms: -15 + 9p = -20 + -35 + 5p Combine like terms: -20 + -35 = -55 -15 + 9p = -55 + 5p Solving -15 + 9p = -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. -15 + 9p + -5p = -55 + 5p + -5p Combine like terms: 9p + -5p = 4p -15 + 4p = -55 + 5p + -5p Combine like terms: 5p + -5p = 0 -15 + 4p = -55 + 0 -15 + 4p = -55 Add '15' to each side of the equation. -15 + 15 + 4p = -55 + 15 Combine like terms: -15 + 15 = 0 0 + 4p = -55 + 15 4p = -55 + 15 Combine like terms: -55 + 15 = -40 4p = -40 Divide each side by '4'. p = -10 Simplifying p = -10
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