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Simplifying 28 = 4(1 + -6p) + 2(5p + 5) 28 = (1 * 4 + -6p * 4) + 2(5p + 5) 28 = (4 + -24p) + 2(5p + 5) Reorder the terms: 28 = 4 + -24p + 2(5 + 5p) 28 = 4 + -24p + (5 * 2 + 5p * 2) 28 = 4 + -24p + (10 + 10p) Reorder the terms: 28 = 4 + 10 + -24p + 10p Combine like terms: 4 + 10 = 14 28 = 14 + -24p + 10p Combine like terms: -24p + 10p = -14p 28 = 14 + -14p Solving 28 = 14 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. 28 + 14p = 14 + -14p + 14p Combine like terms: -14p + 14p = 0 28 + 14p = 14 + 0 28 + 14p = 14 Add '-28' to each side of the equation. 28 + -28 + 14p = 14 + -28 Combine like terms: 28 + -28 = 0 0 + 14p = 14 + -28 14p = 14 + -28 Combine like terms: 14 + -28 = -14 14p = -14 Divide each side by '14'. p = -1 Simplifying p = -1
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