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Simplifying -7(2p + 2) + -38 = 2(4p + 7) Reorder the terms: -7(2 + 2p) + -38 = 2(4p + 7) (2 * -7 + 2p * -7) + -38 = 2(4p + 7) (-14 + -14p) + -38 = 2(4p + 7) Reorder the terms: -14 + -38 + -14p = 2(4p + 7) Combine like terms: -14 + -38 = -52 -52 + -14p = 2(4p + 7) Reorder the terms: -52 + -14p = 2(7 + 4p) -52 + -14p = (7 * 2 + 4p * 2) -52 + -14p = (14 + 8p) Solving -52 + -14p = 14 + 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. -52 + -14p + -8p = 14 + 8p + -8p Combine like terms: -14p + -8p = -22p -52 + -22p = 14 + 8p + -8p Combine like terms: 8p + -8p = 0 -52 + -22p = 14 + 0 -52 + -22p = 14 Add '52' to each side of the equation. -52 + 52 + -22p = 14 + 52 Combine like terms: -52 + 52 = 0 0 + -22p = 14 + 52 -22p = 14 + 52 Combine like terms: 14 + 52 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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