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Simplifying 7(4 + 7n) = -18 + 3n (4 * 7 + 7n * 7) = -18 + 3n (28 + 49n) = -18 + 3n Solving 28 + 49n = -18 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 28 + 49n + -3n = -18 + 3n + -3n Combine like terms: 49n + -3n = 46n 28 + 46n = -18 + 3n + -3n Combine like terms: 3n + -3n = 0 28 + 46n = -18 + 0 28 + 46n = -18 Add '-28' to each side of the equation. 28 + -28 + 46n = -18 + -28 Combine like terms: 28 + -28 = 0 0 + 46n = -18 + -28 46n = -18 + -28 Combine like terms: -18 + -28 = -46 46n = -46 Divide each side by '46'. n = -1 Simplifying n = -1
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