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Simplifying 7(-2 + 7n) = 30 + 5n (-2 * 7 + 7n * 7) = 30 + 5n (-14 + 49n) = 30 + 5n Solving -14 + 49n = 30 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -14 + 49n + -5n = 30 + 5n + -5n Combine like terms: 49n + -5n = 44n -14 + 44n = 30 + 5n + -5n Combine like terms: 5n + -5n = 0 -14 + 44n = 30 + 0 -14 + 44n = 30 Add '14' to each side of the equation. -14 + 14 + 44n = 30 + 14 Combine like terms: -14 + 14 = 0 0 + 44n = 30 + 14 44n = 30 + 14 Combine like terms: 30 + 14 = 44 44n = 44 Divide each side by '44'. n = 1 Simplifying n = 1
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