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Simplifying 4 + -2(n + -4) = -12 + n Reorder the terms: 4 + -2(-4 + n) = -12 + n 4 + (-4 * -2 + n * -2) = -12 + n 4 + (8 + -2n) = -12 + n Combine like terms: 4 + 8 = 12 12 + -2n = -12 + n Solving 12 + -2n = -12 + 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 + -2n + -1n = -12 + n + -1n Combine like terms: -2n + -1n = -3n 12 + -3n = -12 + n + -1n Combine like terms: n + -1n = 0 12 + -3n = -12 + 0 12 + -3n = -12 Add '-12' to each side of the equation. 12 + -12 + -3n = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -3n = -12 + -12 -3n = -12 + -12 Combine like terms: -12 + -12 = -24 -3n = -24 Divide each side by '-3'. n = 8 Simplifying n = 8
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