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Simplifying -1(-3n + -6) = -1 + 2(n + 4) Reorder the terms: -1(-6 + -3n) = -1 + 2(n + 4) (-6 * -1 + -3n * -1) = -1 + 2(n + 4) (6 + 3n) = -1 + 2(n + 4) Reorder the terms: 6 + 3n = -1 + 2(4 + n) 6 + 3n = -1 + (4 * 2 + n * 2) 6 + 3n = -1 + (8 + 2n) Combine like terms: -1 + 8 = 7 6 + 3n = 7 + 2n Solving 6 + 3n = 7 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 6 + 3n + -2n = 7 + 2n + -2n Combine like terms: 3n + -2n = 1n 6 + 1n = 7 + 2n + -2n Combine like terms: 2n + -2n = 0 6 + 1n = 7 + 0 6 + 1n = 7 Add '-6' to each side of the equation. 6 + -6 + 1n = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 1n = 7 + -6 1n = 7 + -6 Combine like terms: 7 + -6 = 1 1n = 1 Divide each side by '1'. n = 1 Simplifying n = 1
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