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