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Simplifying (3n + -6) + -1(4n + -8) = 0 Reorder the terms: (-6 + 3n) + -1(4n + -8) = 0 Remove parenthesis around (-6 + 3n) -6 + 3n + -1(4n + -8) = 0 Reorder the terms: -6 + 3n + -1(-8 + 4n) = 0 -6 + 3n + (-8 * -1 + 4n * -1) = 0 -6 + 3n + (8 + -4n) = 0 Reorder the terms: -6 + 8 + 3n + -4n = 0 Combine like terms: -6 + 8 = 2 2 + 3n + -4n = 0 Combine like terms: 3n + -4n = -1n 2 + -1n = 0 Solving 2 + -1n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2
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