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Simplifying -4n + 2(n + -6) + 8 = 10 Reorder the terms: -4n + 2(-6 + n) + 8 = 10 -4n + (-6 * 2 + n * 2) + 8 = 10 -4n + (-12 + 2n) + 8 = 10 Reorder the terms: -12 + 8 + -4n + 2n = 10 Combine like terms: -12 + 8 = -4 -4 + -4n + 2n = 10 Combine like terms: -4n + 2n = -2n -4 + -2n = 10 Solving -4 + -2n = 10 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -2n = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -2n = 10 + 4 -2n = 10 + 4 Combine like terms: 10 + 4 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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