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Simplifying 3(n + -2) + -2(3 + -1n) = 4(n + -3) Reorder the terms: 3(-2 + n) + -2(3 + -1n) = 4(n + -3) (-2 * 3 + n * 3) + -2(3 + -1n) = 4(n + -3) (-6 + 3n) + -2(3 + -1n) = 4(n + -3) -6 + 3n + (3 * -2 + -1n * -2) = 4(n + -3) -6 + 3n + (-6 + 2n) = 4(n + -3) Reorder the terms: -6 + -6 + 3n + 2n = 4(n + -3) Combine like terms: -6 + -6 = -12 -12 + 3n + 2n = 4(n + -3) Combine like terms: 3n + 2n = 5n -12 + 5n = 4(n + -3) Reorder the terms: -12 + 5n = 4(-3 + n) -12 + 5n = (-3 * 4 + n * 4) -12 + 5n = (-12 + 4n) Add '12' to each side of the equation. -12 + 12 + 5n = -12 + 12 + 4n Combine like terms: -12 + 12 = 0 0 + 5n = -12 + 12 + 4n 5n = -12 + 12 + 4n Combine like terms: -12 + 12 = 0 5n = 0 + 4n 5n = 4n Solving 5n = 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 5n + -4n = 4n + -4n Combine like terms: 5n + -4n = 1n 1n = 4n + -4n Combine like terms: 4n + -4n = 0 1n = 0 Divide each side by '1'. n = 0 Simplifying n = 0
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