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Simplifying n + 8 = 2(n + -6) Reorder the terms: 8 + n = 2(n + -6) Reorder the terms: 8 + n = 2(-6 + n) 8 + n = (-6 * 2 + n * 2) 8 + n = (-12 + 2n) Solving 8 + n = -12 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 8 + n + -2n = -12 + 2n + -2n Combine like terms: n + -2n = -1n 8 + -1n = -12 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + -1n = -12 + 0 8 + -1n = -12 Add '-8' to each side of the equation. 8 + -8 + -1n = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = -12 + -8 -1n = -12 + -8 Combine like terms: -12 + -8 = -20 -1n = -20 Divide each side by '-1'. n = 20 Simplifying n = 20
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