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Simplifying -4(2p + 2) + -6 = 2(3p + 7) Reorder the terms: -4(2 + 2p) + -6 = 2(3p + 7) (2 * -4 + 2p * -4) + -6 = 2(3p + 7) (-8 + -8p) + -6 = 2(3p + 7) Reorder the terms: -8 + -6 + -8p = 2(3p + 7) Combine like terms: -8 + -6 = -14 -14 + -8p = 2(3p + 7) Reorder the terms: -14 + -8p = 2(7 + 3p) -14 + -8p = (7 * 2 + 3p * 2) -14 + -8p = (14 + 6p) Solving -14 + -8p = 14 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -14 + -8p + -6p = 14 + 6p + -6p Combine like terms: -8p + -6p = -14p -14 + -14p = 14 + 6p + -6p Combine like terms: 6p + -6p = 0 -14 + -14p = 14 + 0 -14 + -14p = 14 Add '14' to each side of the equation. -14 + 14 + -14p = 14 + 14 Combine like terms: -14 + 14 = 0 0 + -14p = 14 + 14 -14p = 14 + 14 Combine like terms: 14 + 14 = 28 -14p = 28 Divide each side by '-14'. p = -2 Simplifying p = -2
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