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Simplifying -1(-6n + -2) + -1n = 3(n + -4) Reorder the terms: -1(-2 + -6n) + -1n = 3(n + -4) (-2 * -1 + -6n * -1) + -1n = 3(n + -4) (2 + 6n) + -1n = 3(n + -4) Combine like terms: 6n + -1n = 5n 2 + 5n = 3(n + -4) Reorder the terms: 2 + 5n = 3(-4 + n) 2 + 5n = (-4 * 3 + n * 3) 2 + 5n = (-12 + 3n) Solving 2 + 5n = -12 + 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. 2 + 5n + -3n = -12 + 3n + -3n Combine like terms: 5n + -3n = 2n 2 + 2n = -12 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + 2n = -12 + 0 2 + 2n = -12 Add '-2' to each side of the equation. 2 + -2 + 2n = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 2n = -12 + -2 2n = -12 + -2 Combine like terms: -12 + -2 = -14 2n = -14 Divide each side by '2'. n = -7 Simplifying n = -7
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