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Simplifying 4(n + 6) = 2(n + -3) + 4 Reorder the terms: 4(6 + n) = 2(n + -3) + 4 (6 * 4 + n * 4) = 2(n + -3) + 4 (24 + 4n) = 2(n + -3) + 4 Reorder the terms: 24 + 4n = 2(-3 + n) + 4 24 + 4n = (-3 * 2 + n * 2) + 4 24 + 4n = (-6 + 2n) + 4 Reorder the terms: 24 + 4n = -6 + 4 + 2n Combine like terms: -6 + 4 = -2 24 + 4n = -2 + 2n Solving 24 + 4n = -2 + 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. 24 + 4n + -2n = -2 + 2n + -2n Combine like terms: 4n + -2n = 2n 24 + 2n = -2 + 2n + -2n Combine like terms: 2n + -2n = 0 24 + 2n = -2 + 0 24 + 2n = -2 Add '-24' to each side of the equation. 24 + -24 + 2n = -2 + -24 Combine like terms: 24 + -24 = 0 0 + 2n = -2 + -24 2n = -2 + -24 Combine like terms: -2 + -24 = -26 2n = -26 Divide each side by '2'. n = -13 Simplifying n = -13
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