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Simplifying -6p + -3(3 + -5p) = 4(p + -5) + -39 -6p + (3 * -3 + -5p * -3) = 4(p + -5) + -39 -6p + (-9 + 15p) = 4(p + -5) + -39 Reorder the terms: -9 + -6p + 15p = 4(p + -5) + -39 Combine like terms: -6p + 15p = 9p -9 + 9p = 4(p + -5) + -39 Reorder the terms: -9 + 9p = 4(-5 + p) + -39 -9 + 9p = (-5 * 4 + p * 4) + -39 -9 + 9p = (-20 + 4p) + -39 Reorder the terms: -9 + 9p = -20 + -39 + 4p Combine like terms: -20 + -39 = -59 -9 + 9p = -59 + 4p Solving -9 + 9p = -59 + 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. -9 + 9p + -4p = -59 + 4p + -4p Combine like terms: 9p + -4p = 5p -9 + 5p = -59 + 4p + -4p Combine like terms: 4p + -4p = 0 -9 + 5p = -59 + 0 -9 + 5p = -59 Add '9' to each side of the equation. -9 + 9 + 5p = -59 + 9 Combine like terms: -9 + 9 = 0 0 + 5p = -59 + 9 5p = -59 + 9 Combine like terms: -59 + 9 = -50 5p = -50 Divide each side by '5'. p = -10 Simplifying p = -10
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