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Simplifying (4n + -6) + -1(5n + 6) = 0 Reorder the terms: (-6 + 4n) + -1(5n + 6) = 0 Remove parenthesis around (-6 + 4n) -6 + 4n + -1(5n + 6) = 0 Reorder the terms: -6 + 4n + -1(6 + 5n) = 0 -6 + 4n + (6 * -1 + 5n * -1) = 0 -6 + 4n + (-6 + -5n) = 0 Reorder the terms: -6 + -6 + 4n + -5n = 0 Combine like terms: -6 + -6 = -12 -12 + 4n + -5n = 0 Combine like terms: 4n + -5n = -1n -12 + -1n = 0 Solving -12 + -1n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1n = 0 + 12 -1n = 0 + 12 Combine like terms: 0 + 12 = 12 -1n = 12 Divide each side by '-1'. n = -12 Simplifying n = -12
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