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Simplifying -16p + -5(6 + -5p) = 4(p + -5) + -20 -16p + (6 * -5 + -5p * -5) = 4(p + -5) + -20 -16p + (-30 + 25p) = 4(p + -5) + -20 Reorder the terms: -30 + -16p + 25p = 4(p + -5) + -20 Combine like terms: -16p + 25p = 9p -30 + 9p = 4(p + -5) + -20 Reorder the terms: -30 + 9p = 4(-5 + p) + -20 -30 + 9p = (-5 * 4 + p * 4) + -20 -30 + 9p = (-20 + 4p) + -20 Reorder the terms: -30 + 9p = -20 + -20 + 4p Combine like terms: -20 + -20 = -40 -30 + 9p = -40 + 4p Solving -30 + 9p = -40 + 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. -30 + 9p + -4p = -40 + 4p + -4p Combine like terms: 9p + -4p = 5p -30 + 5p = -40 + 4p + -4p Combine like terms: 4p + -4p = 0 -30 + 5p = -40 + 0 -30 + 5p = -40 Add '30' to each side of the equation. -30 + 30 + 5p = -40 + 30 Combine like terms: -30 + 30 = 0 0 + 5p = -40 + 30 5p = -40 + 30 Combine like terms: -40 + 30 = -10 5p = -10 Divide each side by '5'. p = -2 Simplifying p = -2
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