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Simplifying 4n + 30 = -2(n + -6) Reorder the terms: 30 + 4n = -2(n + -6) Reorder the terms: 30 + 4n = -2(-6 + n) 30 + 4n = (-6 * -2 + n * -2) 30 + 4n = (12 + -2n) Solving 30 + 4n = 12 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 30 + 4n + 2n = 12 + -2n + 2n Combine like terms: 4n + 2n = 6n 30 + 6n = 12 + -2n + 2n Combine like terms: -2n + 2n = 0 30 + 6n = 12 + 0 30 + 6n = 12 Add '-30' to each side of the equation. 30 + -30 + 6n = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 6n = 12 + -30 6n = 12 + -30 Combine like terms: 12 + -30 = -18 6n = -18 Divide each side by '6'. n = -3 Simplifying n = -3
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