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Simplifying 8 + -1(n + -4) = -2 + -8 Reorder the terms: 8 + -1(-4 + n) = -2 + -8 8 + (-4 * -1 + n * -1) = -2 + -8 8 + (4 + -1n) = -2 + -8 Combine like terms: 8 + 4 = 12 12 + -1n = -2 + -8 Combine like terms: -2 + -8 = -10 12 + -1n = -10 Solving 12 + -1n = -10 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1n = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = -10 + -12 -1n = -10 + -12 Combine like terms: -10 + -12 = -22 -1n = -22 Divide each side by '-1'. n = 22 Simplifying n = 22
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