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Simplifying 2(n + -6) = 5n + -43 Reorder the terms: 2(-6 + n) = 5n + -43 (-6 * 2 + n * 2) = 5n + -43 (-12 + 2n) = 5n + -43 Reorder the terms: -12 + 2n = -43 + 5n Solving -12 + 2n = -43 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -12 + 2n + -5n = -43 + 5n + -5n Combine like terms: 2n + -5n = -3n -12 + -3n = -43 + 5n + -5n Combine like terms: 5n + -5n = 0 -12 + -3n = -43 + 0 -12 + -3n = -43 Add '12' to each side of the equation. -12 + 12 + -3n = -43 + 12 Combine like terms: -12 + 12 = 0 0 + -3n = -43 + 12 -3n = -43 + 12 Combine like terms: -43 + 12 = -31 -3n = -31 Divide each side by '-3'. n = 10.33333333 Simplifying n = 10.33333333
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