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Simplifying 4(n + 7) = 7 + n Reorder the terms: 4(7 + n) = 7 + n (7 * 4 + n * 4) = 7 + n (28 + 4n) = 7 + n Solving 28 + 4n = 7 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 28 + 4n + -1n = 7 + n + -1n Combine like terms: 4n + -1n = 3n 28 + 3n = 7 + n + -1n Combine like terms: n + -1n = 0 28 + 3n = 7 + 0 28 + 3n = 7 Add '-28' to each side of the equation. 28 + -28 + 3n = 7 + -28 Combine like terms: 28 + -28 = 0 0 + 3n = 7 + -28 3n = 7 + -28 Combine like terms: 7 + -28 = -21 3n = -21 Divide each side by '3'. n = -7 Simplifying n = -7
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