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