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Simplifying -7(2 + 4n) = 30 + -6n (2 * -7 + 4n * -7) = 30 + -6n (-14 + -28n) = 30 + -6n Solving -14 + -28n = 30 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -14 + -28n + 6n = 30 + -6n + 6n Combine like terms: -28n + 6n = -22n -14 + -22n = 30 + -6n + 6n Combine like terms: -6n + 6n = 0 -14 + -22n = 30 + 0 -14 + -22n = 30 Add '14' to each side of the equation. -14 + 14 + -22n = 30 + 14 Combine like terms: -14 + 14 = 0 0 + -22n = 30 + 14 -22n = 30 + 14 Combine like terms: 30 + 14 = 44 -22n = 44 Divide each side by '-22'. n = -2 Simplifying n = -2
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