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Simplifying 4 + 12 + -6 = 5 + 2n + -18 Combine like terms: 4 + 12 = 16 16 + -6 = 5 + 2n + -18 Combine like terms: 16 + -6 = 10 10 = 5 + 2n + -18 Reorder the terms: 10 = 5 + -18 + 2n Combine like terms: 5 + -18 = -13 10 = -13 + 2n Solving 10 = -13 + 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. 10 + -2n = -13 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + -2n = -13 + 0 10 + -2n = -13 Add '-10' to each side of the equation. 10 + -10 + -2n = -13 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = -13 + -10 -2n = -13 + -10 Combine like terms: -13 + -10 = -23 -2n = -23 Divide each side by '-2'. n = 11.5 Simplifying n = 11.5
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