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Simplifying -2p + -3(4 + -3p) = 5(p + -6) + -4 -2p + (4 * -3 + -3p * -3) = 5(p + -6) + -4 -2p + (-12 + 9p) = 5(p + -6) + -4 Reorder the terms: -12 + -2p + 9p = 5(p + -6) + -4 Combine like terms: -2p + 9p = 7p -12 + 7p = 5(p + -6) + -4 Reorder the terms: -12 + 7p = 5(-6 + p) + -4 -12 + 7p = (-6 * 5 + p * 5) + -4 -12 + 7p = (-30 + 5p) + -4 Reorder the terms: -12 + 7p = -30 + -4 + 5p Combine like terms: -30 + -4 = -34 -12 + 7p = -34 + 5p Solving -12 + 7p = -34 + 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 + 7p + -5p = -34 + 5p + -5p Combine like terms: 7p + -5p = 2p -12 + 2p = -34 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 2p = -34 + 0 -12 + 2p = -34 Add '12' to each side of the equation. -12 + 12 + 2p = -34 + 12 Combine like terms: -12 + 12 = 0 0 + 2p = -34 + 12 2p = -34 + 12 Combine like terms: -34 + 12 = -22 2p = -22 Divide each side by '2'. p = -11 Simplifying p = -11
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