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Simplifying -14p + -3(3 + -6p) = 2(p + -6) + -19 -14p + (3 * -3 + -6p * -3) = 2(p + -6) + -19 -14p + (-9 + 18p) = 2(p + -6) + -19 Reorder the terms: -9 + -14p + 18p = 2(p + -6) + -19 Combine like terms: -14p + 18p = 4p -9 + 4p = 2(p + -6) + -19 Reorder the terms: -9 + 4p = 2(-6 + p) + -19 -9 + 4p = (-6 * 2 + p * 2) + -19 -9 + 4p = (-12 + 2p) + -19 Reorder the terms: -9 + 4p = -12 + -19 + 2p Combine like terms: -12 + -19 = -31 -9 + 4p = -31 + 2p Solving -9 + 4p = -31 + 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. -9 + 4p + -2p = -31 + 2p + -2p Combine like terms: 4p + -2p = 2p -9 + 2p = -31 + 2p + -2p Combine like terms: 2p + -2p = 0 -9 + 2p = -31 + 0 -9 + 2p = -31 Add '9' to each side of the equation. -9 + 9 + 2p = -31 + 9 Combine like terms: -9 + 9 = 0 0 + 2p = -31 + 9 2p = -31 + 9 Combine like terms: -31 + 9 = -22 2p = -22 Divide each side by '2'. p = -11 Simplifying p = -11
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