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Simplifying -11p + -3(2 + -5p) = 2(p + -6) + -6 -11p + (2 * -3 + -5p * -3) = 2(p + -6) + -6 -11p + (-6 + 15p) = 2(p + -6) + -6 Reorder the terms: -6 + -11p + 15p = 2(p + -6) + -6 Combine like terms: -11p + 15p = 4p -6 + 4p = 2(p + -6) + -6 Reorder the terms: -6 + 4p = 2(-6 + p) + -6 -6 + 4p = (-6 * 2 + p * 2) + -6 -6 + 4p = (-12 + 2p) + -6 Reorder the terms: -6 + 4p = -12 + -6 + 2p Combine like terms: -12 + -6 = -18 -6 + 4p = -18 + 2p Solving -6 + 4p = -18 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -6 + 4p + -2p = -18 + 2p + -2p Combine like terms: 4p + -2p = 2p -6 + 2p = -18 + 2p + -2p Combine like terms: 2p + -2p = 0 -6 + 2p = -18 + 0 -6 + 2p = -18 Add '6' to each side of the equation. -6 + 6 + 2p = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 2p = -18 + 6 2p = -18 + 6 Combine like terms: -18 + 6 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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