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Simplifying 4n + 6 + -2 = 3(n + 3) + -11 Reorder the terms: 6 + -2 + 4n = 3(n + 3) + -11 Combine like terms: 6 + -2 = 4 4 + 4n = 3(n + 3) + -11 Reorder the terms: 4 + 4n = 3(3 + n) + -11 4 + 4n = (3 * 3 + n * 3) + -11 4 + 4n = (9 + 3n) + -11 Reorder the terms: 4 + 4n = 9 + -11 + 3n Combine like terms: 9 + -11 = -2 4 + 4n = -2 + 3n Solving 4 + 4n = -2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 4 + 4n + -3n = -2 + 3n + -3n Combine like terms: 4n + -3n = 1n 4 + 1n = -2 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + 1n = -2 + 0 4 + 1n = -2 Add '-4' to each side of the equation. 4 + -4 + 1n = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 1n = -2 + -4 1n = -2 + -4 Combine like terms: -2 + -4 = -6 1n = -6 Divide each side by '1'. n = -6 Simplifying n = -6
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