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Simplifying -11p + -3(4 + -6p) = 5(p + -2) + -2 -11p + (4 * -3 + -6p * -3) = 5(p + -2) + -2 -11p + (-12 + 18p) = 5(p + -2) + -2 Reorder the terms: -12 + -11p + 18p = 5(p + -2) + -2 Combine like terms: -11p + 18p = 7p -12 + 7p = 5(p + -2) + -2 Reorder the terms: -12 + 7p = 5(-2 + p) + -2 -12 + 7p = (-2 * 5 + p * 5) + -2 -12 + 7p = (-10 + 5p) + -2 Reorder the terms: -12 + 7p = -10 + -2 + 5p Combine like terms: -10 + -2 = -12 -12 + 7p = -12 + 5p Add '12' to each side of the equation. -12 + 12 + 7p = -12 + 12 + 5p Combine like terms: -12 + 12 = 0 0 + 7p = -12 + 12 + 5p 7p = -12 + 12 + 5p Combine like terms: -12 + 12 = 0 7p = 0 + 5p 7p = 5p Solving 7p = 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. 7p + -5p = 5p + -5p Combine like terms: 7p + -5p = 2p 2p = 5p + -5p Combine like terms: 5p + -5p = 0 2p = 0 Divide each side by '2'. p = 0 Simplifying p = 0
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