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Simplifying 4(n + -2) = 3n + 6 Reorder the terms: 4(-2 + n) = 3n + 6 (-2 * 4 + n * 4) = 3n + 6 (-8 + 4n) = 3n + 6 Reorder the terms: -8 + 4n = 6 + 3n Solving -8 + 4n = 6 + 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. -8 + 4n + -3n = 6 + 3n + -3n Combine like terms: 4n + -3n = 1n -8 + 1n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 -8 + 1n = 6 + 0 -8 + 1n = 6 Add '8' to each side of the equation. -8 + 8 + 1n = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 1n = 6 + 8 1n = 6 + 8 Combine like terms: 6 + 8 = 14 1n = 14 Divide each side by '1'. n = 14 Simplifying n = 14
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