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Simplifying -6p + -3(3 + -5p) = 5(p + -2) + -11 -6p + (3 * -3 + -5p * -3) = 5(p + -2) + -11 -6p + (-9 + 15p) = 5(p + -2) + -11 Reorder the terms: -9 + -6p + 15p = 5(p + -2) + -11 Combine like terms: -6p + 15p = 9p -9 + 9p = 5(p + -2) + -11 Reorder the terms: -9 + 9p = 5(-2 + p) + -11 -9 + 9p = (-2 * 5 + p * 5) + -11 -9 + 9p = (-10 + 5p) + -11 Reorder the terms: -9 + 9p = -10 + -11 + 5p Combine like terms: -10 + -11 = -21 -9 + 9p = -21 + 5p Solving -9 + 9p = -21 + 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. -9 + 9p + -5p = -21 + 5p + -5p Combine like terms: 9p + -5p = 4p -9 + 4p = -21 + 5p + -5p Combine like terms: 5p + -5p = 0 -9 + 4p = -21 + 0 -9 + 4p = -21 Add '9' to each side of the equation. -9 + 9 + 4p = -21 + 9 Combine like terms: -9 + 9 = 0 0 + 4p = -21 + 9 4p = -21 + 9 Combine like terms: -21 + 9 = -12 4p = -12 Divide each side by '4'. p = -3 Simplifying p = -3
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