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Simplifying -6(n + -2) = 9 + -1(n + -10) Reorder the terms: -6(-2 + n) = 9 + -1(n + -10) (-2 * -6 + n * -6) = 9 + -1(n + -10) (12 + -6n) = 9 + -1(n + -10) Reorder the terms: 12 + -6n = 9 + -1(-10 + n) 12 + -6n = 9 + (-10 * -1 + n * -1) 12 + -6n = 9 + (10 + -1n) Combine like terms: 9 + 10 = 19 12 + -6n = 19 + -1n Solving 12 + -6n = 19 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 12 + -6n + n = 19 + -1n + n Combine like terms: -6n + n = -5n 12 + -5n = 19 + -1n + n Combine like terms: -1n + n = 0 12 + -5n = 19 + 0 12 + -5n = 19 Add '-12' to each side of the equation. 12 + -12 + -5n = 19 + -12 Combine like terms: 12 + -12 = 0 0 + -5n = 19 + -12 -5n = 19 + -12 Combine like terms: 19 + -12 = 7 -5n = 7 Divide each side by '-5'. n = -1.4 Simplifying n = -1.4
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