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Simplifying 16p + -5(3 + -5p) = 5(p + -4) + -31 16p + (3 * -5 + -5p * -5) = 5(p + -4) + -31 16p + (-15 + 25p) = 5(p + -4) + -31 Reorder the terms: -15 + 16p + 25p = 5(p + -4) + -31 Combine like terms: 16p + 25p = 41p -15 + 41p = 5(p + -4) + -31 Reorder the terms: -15 + 41p = 5(-4 + p) + -31 -15 + 41p = (-4 * 5 + p * 5) + -31 -15 + 41p = (-20 + 5p) + -31 Reorder the terms: -15 + 41p = -20 + -31 + 5p Combine like terms: -20 + -31 = -51 -15 + 41p = -51 + 5p Solving -15 + 41p = -51 + 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 + 41p + -5p = -51 + 5p + -5p Combine like terms: 41p + -5p = 36p -15 + 36p = -51 + 5p + -5p Combine like terms: 5p + -5p = 0 -15 + 36p = -51 + 0 -15 + 36p = -51 Add '15' to each side of the equation. -15 + 15 + 36p = -51 + 15 Combine like terms: -15 + 15 = 0 0 + 36p = -51 + 15 36p = -51 + 15 Combine like terms: -51 + 15 = -36 36p = -36 Divide each side by '36'. p = -1 Simplifying p = -1
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