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Simplifying (-3n + (-6)) + -1(-5n + 2) = 0 (-3n + -6) + -1(-5n + 2) = 0 Reorder the terms: (-6 + -3n) + -1(-5n + 2) = 0 Remove parenthesis around (-6 + -3n) -6 + -3n + -1(-5n + 2) = 0 Reorder the terms: -6 + -3n + -1(2 + -5n) = 0 -6 + -3n + (2 * -1 + -5n * -1) = 0 -6 + -3n + (-2 + 5n) = 0 Reorder the terms: -6 + -2 + -3n + 5n = 0 Combine like terms: -6 + -2 = -8 -8 + -3n + 5n = 0 Combine like terms: -3n + 5n = 2n -8 + 2n = 0 Solving -8 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = 0 + 8 2n = 0 + 8 Combine like terms: 0 + 8 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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