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Simplifying 4n + 6 + 2n = 2(n + -3) Reorder the terms: 6 + 4n + 2n = 2(n + -3) Combine like terms: 4n + 2n = 6n 6 + 6n = 2(n + -3) Reorder the terms: 6 + 6n = 2(-3 + n) 6 + 6n = (-3 * 2 + n * 2) 6 + 6n = (-6 + 2n) Solving 6 + 6n = -6 + 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. 6 + 6n + -2n = -6 + 2n + -2n Combine like terms: 6n + -2n = 4n 6 + 4n = -6 + 2n + -2n Combine like terms: 2n + -2n = 0 6 + 4n = -6 + 0 6 + 4n = -6 Add '-6' to each side of the equation. 6 + -6 + 4n = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 4n = -6 + -6 4n = -6 + -6 Combine like terms: -6 + -6 = -12 4n = -12 Divide each side by '4'. n = -3 Simplifying n = -3
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