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Simplifying -2p + -3(4 + -3p) = 3(p + -6) + -14 -2p + (4 * -3 + -3p * -3) = 3(p + -6) + -14 -2p + (-12 + 9p) = 3(p + -6) + -14 Reorder the terms: -12 + -2p + 9p = 3(p + -6) + -14 Combine like terms: -2p + 9p = 7p -12 + 7p = 3(p + -6) + -14 Reorder the terms: -12 + 7p = 3(-6 + p) + -14 -12 + 7p = (-6 * 3 + p * 3) + -14 -12 + 7p = (-18 + 3p) + -14 Reorder the terms: -12 + 7p = -18 + -14 + 3p Combine like terms: -18 + -14 = -32 -12 + 7p = -32 + 3p Solving -12 + 7p = -32 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -12 + 7p + -3p = -32 + 3p + -3p Combine like terms: 7p + -3p = 4p -12 + 4p = -32 + 3p + -3p Combine like terms: 3p + -3p = 0 -12 + 4p = -32 + 0 -12 + 4p = -32 Add '12' to each side of the equation. -12 + 12 + 4p = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -32 + 12 4p = -32 + 12 Combine like terms: -32 + 12 = -20 4p = -20 Divide each side by '4'. p = -5 Simplifying p = -5
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