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Simplifying 3p + -6(p + 2) = 5(p + -9) + -11 Reorder the terms: 3p + -6(2 + p) = 5(p + -9) + -11 3p + (2 * -6 + p * -6) = 5(p + -9) + -11 3p + (-12 + -6p) = 5(p + -9) + -11 Reorder the terms: -12 + 3p + -6p = 5(p + -9) + -11 Combine like terms: 3p + -6p = -3p -12 + -3p = 5(p + -9) + -11 Reorder the terms: -12 + -3p = 5(-9 + p) + -11 -12 + -3p = (-9 * 5 + p * 5) + -11 -12 + -3p = (-45 + 5p) + -11 Reorder the terms: -12 + -3p = -45 + -11 + 5p Combine like terms: -45 + -11 = -56 -12 + -3p = -56 + 5p Solving -12 + -3p = -56 + 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. -12 + -3p + -5p = -56 + 5p + -5p Combine like terms: -3p + -5p = -8p -12 + -8p = -56 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + -8p = -56 + 0 -12 + -8p = -56 Add '12' to each side of the equation. -12 + 12 + -8p = -56 + 12 Combine like terms: -12 + 12 = 0 0 + -8p = -56 + 12 -8p = -56 + 12 Combine like terms: -56 + 12 = -44 -8p = -44 Divide each side by '-8'. p = 5.5 Simplifying p = 5.5
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