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Simplifying 7(4 + 4p) = -6p + -6 (4 * 7 + 4p * 7) = -6p + -6 (28 + 28p) = -6p + -6 Reorder the terms: 28 + 28p = -6 + -6p Solving 28 + 28p = -6 + -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. 28 + 28p + 6p = -6 + -6p + 6p Combine like terms: 28p + 6p = 34p 28 + 34p = -6 + -6p + 6p Combine like terms: -6p + 6p = 0 28 + 34p = -6 + 0 28 + 34p = -6 Add '-28' to each side of the equation. 28 + -28 + 34p = -6 + -28 Combine like terms: 28 + -28 = 0 0 + 34p = -6 + -28 34p = -6 + -28 Combine like terms: -6 + -28 = -34 34p = -34 Divide each side by '34'. p = -1 Simplifying p = -1
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