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