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Simplifying 7(p + 2) = -4(-4p + -8) Reorder the terms: 7(2 + p) = -4(-4p + -8) (2 * 7 + p * 7) = -4(-4p + -8) (14 + 7p) = -4(-4p + -8) Reorder the terms: 14 + 7p = -4(-8 + -4p) 14 + 7p = (-8 * -4 + -4p * -4) 14 + 7p = (32 + 16p) Solving 14 + 7p = 32 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 14 + 7p + -16p = 32 + 16p + -16p Combine like terms: 7p + -16p = -9p 14 + -9p = 32 + 16p + -16p Combine like terms: 16p + -16p = 0 14 + -9p = 32 + 0 14 + -9p = 32 Add '-14' to each side of the equation. 14 + -14 + -9p = 32 + -14 Combine like terms: 14 + -14 = 0 0 + -9p = 32 + -14 -9p = 32 + -14 Combine like terms: 32 + -14 = 18 -9p = 18 Divide each side by '-9'. p = -2 Simplifying p = -2
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