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Simplifying -9p + -3(5 + -6p) = 4(p + -5) + -10 -9p + (5 * -3 + -6p * -3) = 4(p + -5) + -10 -9p + (-15 + 18p) = 4(p + -5) + -10 Reorder the terms: -15 + -9p + 18p = 4(p + -5) + -10 Combine like terms: -9p + 18p = 9p -15 + 9p = 4(p + -5) + -10 Reorder the terms: -15 + 9p = 4(-5 + p) + -10 -15 + 9p = (-5 * 4 + p * 4) + -10 -15 + 9p = (-20 + 4p) + -10 Reorder the terms: -15 + 9p = -20 + -10 + 4p Combine like terms: -20 + -10 = -30 -15 + 9p = -30 + 4p Solving -15 + 9p = -30 + 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 = -30 + 4p + -4p Combine like terms: 9p + -4p = 5p -15 + 5p = -30 + 4p + -4p Combine like terms: 4p + -4p = 0 -15 + 5p = -30 + 0 -15 + 5p = -30 Add '15' to each side of the equation. -15 + 15 + 5p = -30 + 15 Combine like terms: -15 + 15 = 0 0 + 5p = -30 + 15 5p = -30 + 15 Combine like terms: -30 + 15 = -15 5p = -15 Divide each side by '5'. p = -3 Simplifying p = -3
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