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Simplifying -7(2p + 4) + -44 = 2(4p + 8) Reorder the terms: -7(4 + 2p) + -44 = 2(4p + 8) (4 * -7 + 2p * -7) + -44 = 2(4p + 8) (-28 + -14p) + -44 = 2(4p + 8) Reorder the terms: -28 + -44 + -14p = 2(4p + 8) Combine like terms: -28 + -44 = -72 -72 + -14p = 2(4p + 8) Reorder the terms: -72 + -14p = 2(8 + 4p) -72 + -14p = (8 * 2 + 4p * 2) -72 + -14p = (16 + 8p) Solving -72 + -14p = 16 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -72 + -14p + -8p = 16 + 8p + -8p Combine like terms: -14p + -8p = -22p -72 + -22p = 16 + 8p + -8p Combine like terms: 8p + -8p = 0 -72 + -22p = 16 + 0 -72 + -22p = 16 Add '72' to each side of the equation. -72 + 72 + -22p = 16 + 72 Combine like terms: -72 + 72 = 0 0 + -22p = 16 + 72 -22p = 16 + 72 Combine like terms: 16 + 72 = 88 -22p = 88 Divide each side by '-22'. p = -4 Simplifying p = -4
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