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Simplifying 7(4 + -2p) = -7(5p + -1) (4 * 7 + -2p * 7) = -7(5p + -1) (28 + -14p) = -7(5p + -1) Reorder the terms: 28 + -14p = -7(-1 + 5p) 28 + -14p = (-1 * -7 + 5p * -7) 28 + -14p = (7 + -35p) Solving 28 + -14p = 7 + -35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '35p' to each side of the equation. 28 + -14p + 35p = 7 + -35p + 35p Combine like terms: -14p + 35p = 21p 28 + 21p = 7 + -35p + 35p Combine like terms: -35p + 35p = 0 28 + 21p = 7 + 0 28 + 21p = 7 Add '-28' to each side of the equation. 28 + -28 + 21p = 7 + -28 Combine like terms: 28 + -28 = 0 0 + 21p = 7 + -28 21p = 7 + -28 Combine like terms: 7 + -28 = -21 21p = -21 Divide each side by '21'. p = -1 Simplifying p = -1
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