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Simplifying 2p + 14 = -6(-3p + 3) Reorder the terms: 14 + 2p = -6(-3p + 3) Reorder the terms: 14 + 2p = -6(3 + -3p) 14 + 2p = (3 * -6 + -3p * -6) 14 + 2p = (-18 + 18p) Solving 14 + 2p = -18 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. 14 + 2p + -18p = -18 + 18p + -18p Combine like terms: 2p + -18p = -16p 14 + -16p = -18 + 18p + -18p Combine like terms: 18p + -18p = 0 14 + -16p = -18 + 0 14 + -16p = -18 Add '-14' to each side of the equation. 14 + -14 + -16p = -18 + -14 Combine like terms: 14 + -14 = 0 0 + -16p = -18 + -14 -16p = -18 + -14 Combine like terms: -18 + -14 = -32 -16p = -32 Divide each side by '-16'. p = 2 Simplifying p = 2
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