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Simplifying -7(2p + 2) + -36 = 2(4p + 8) Reorder the terms: -7(2 + 2p) + -36 = 2(4p + 8) (2 * -7 + 2p * -7) + -36 = 2(4p + 8) (-14 + -14p) + -36 = 2(4p + 8) Reorder the terms: -14 + -36 + -14p = 2(4p + 8) Combine like terms: -14 + -36 = -50 -50 + -14p = 2(4p + 8) Reorder the terms: -50 + -14p = 2(8 + 4p) -50 + -14p = (8 * 2 + 4p * 2) -50 + -14p = (16 + 8p) Solving -50 + -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. -50 + -14p + -8p = 16 + 8p + -8p Combine like terms: -14p + -8p = -22p -50 + -22p = 16 + 8p + -8p Combine like terms: 8p + -8p = 0 -50 + -22p = 16 + 0 -50 + -22p = 16 Add '50' to each side of the equation. -50 + 50 + -22p = 16 + 50 Combine like terms: -50 + 50 = 0 0 + -22p = 16 + 50 -22p = 16 + 50 Combine like terms: 16 + 50 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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