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