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Simplifying -14p + -6(3 + -3p) = 2(p + -5) + -14 -14p + (3 * -6 + -3p * -6) = 2(p + -5) + -14 -14p + (-18 + 18p) = 2(p + -5) + -14 Reorder the terms: -18 + -14p + 18p = 2(p + -5) + -14 Combine like terms: -14p + 18p = 4p -18 + 4p = 2(p + -5) + -14 Reorder the terms: -18 + 4p = 2(-5 + p) + -14 -18 + 4p = (-5 * 2 + p * 2) + -14 -18 + 4p = (-10 + 2p) + -14 Reorder the terms: -18 + 4p = -10 + -14 + 2p Combine like terms: -10 + -14 = -24 -18 + 4p = -24 + 2p Solving -18 + 4p = -24 + 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. -18 + 4p + -2p = -24 + 2p + -2p Combine like terms: 4p + -2p = 2p -18 + 2p = -24 + 2p + -2p Combine like terms: 2p + -2p = 0 -18 + 2p = -24 + 0 -18 + 2p = -24 Add '18' to each side of the equation. -18 + 18 + 2p = -24 + 18 Combine like terms: -18 + 18 = 0 0 + 2p = -24 + 18 2p = -24 + 18 Combine like terms: -24 + 18 = -6 2p = -6 Divide each side by '2'. p = -3 Simplifying p = -3
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