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Simplifying -6(3p + 3) + -14 = 2(2p + 6) Reorder the terms: -6(3 + 3p) + -14 = 2(2p + 6) (3 * -6 + 3p * -6) + -14 = 2(2p + 6) (-18 + -18p) + -14 = 2(2p + 6) Reorder the terms: -18 + -14 + -18p = 2(2p + 6) Combine like terms: -18 + -14 = -32 -32 + -18p = 2(2p + 6) Reorder the terms: -32 + -18p = 2(6 + 2p) -32 + -18p = (6 * 2 + 2p * 2) -32 + -18p = (12 + 4p) Solving -32 + -18p = 12 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -32 + -18p + -4p = 12 + 4p + -4p Combine like terms: -18p + -4p = -22p -32 + -22p = 12 + 4p + -4p Combine like terms: 4p + -4p = 0 -32 + -22p = 12 + 0 -32 + -22p = 12 Add '32' to each side of the equation. -32 + 32 + -22p = 12 + 32 Combine like terms: -32 + 32 = 0 0 + -22p = 12 + 32 -22p = 12 + 32 Combine like terms: 12 + 32 = 44 -22p = 44 Divide each side by '-22'. p = -2 Simplifying p = -2
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