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Simplifying -16p + -5(3 + -5p) = 4(p + -6) + -36 -16p + (3 * -5 + -5p * -5) = 4(p + -6) + -36 -16p + (-15 + 25p) = 4(p + -6) + -36 Reorder the terms: -15 + -16p + 25p = 4(p + -6) + -36 Combine like terms: -16p + 25p = 9p -15 + 9p = 4(p + -6) + -36 Reorder the terms: -15 + 9p = 4(-6 + p) + -36 -15 + 9p = (-6 * 4 + p * 4) + -36 -15 + 9p = (-24 + 4p) + -36 Reorder the terms: -15 + 9p = -24 + -36 + 4p Combine like terms: -24 + -36 = -60 -15 + 9p = -60 + 4p Solving -15 + 9p = -60 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -15 + 9p + -4p = -60 + 4p + -4p Combine like terms: 9p + -4p = 5p -15 + 5p = -60 + 4p + -4p Combine like terms: 4p + -4p = 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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