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Simplifying 3(n + -2) + -1(3 + -1n) = 3(n + -4) Reorder the terms: 3(-2 + n) + -1(3 + -1n) = 3(n + -4) (-2 * 3 + n * 3) + -1(3 + -1n) = 3(n + -4) (-6 + 3n) + -1(3 + -1n) = 3(n + -4) -6 + 3n + (3 * -1 + -1n * -1) = 3(n + -4) -6 + 3n + (-3 + 1n) = 3(n + -4) Reorder the terms: -6 + -3 + 3n + 1n = 3(n + -4) Combine like terms: -6 + -3 = -9 -9 + 3n + 1n = 3(n + -4) Combine like terms: 3n + 1n = 4n -9 + 4n = 3(n + -4) Reorder the terms: -9 + 4n = 3(-4 + n) -9 + 4n = (-4 * 3 + n * 3) -9 + 4n = (-12 + 3n) Solving -9 + 4n = -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. -9 + 4n + -3n = -12 + 3n + -3n Combine like terms: 4n + -3n = 1n -9 + 1n = -12 + 3n + -3n Combine like terms: 3n + -3n = 0 -9 + 1n = -12 + 0 -9 + 1n = -12 Add '9' to each side of the equation. -9 + 9 + 1n = -12 + 9 Combine like terms: -9 + 9 = 0 0 + 1n = -12 + 9 1n = -12 + 9 Combine like terms: -12 + 9 = -3 1n = -3 Divide each side by '1'. n = -3 Simplifying n = -3
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