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Simplifying 5n + -12 = 5 + 2n + -18 Reorder the terms: -12 + 5n = 5 + 2n + -18 Reorder the terms: -12 + 5n = 5 + -18 + 2n Combine like terms: 5 + -18 = -13 -12 + 5n = -13 + 2n Solving -12 + 5n = -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. -12 + 5n + -2n = -13 + 2n + -2n Combine like terms: 5n + -2n = 3n -12 + 3n = -13 + 2n + -2n Combine like terms: 2n + -2n = 0 -12 + 3n = -13 + 0 -12 + 3n = -13 Add '12' to each side of the equation. -12 + 12 + 3n = -13 + 12 Combine like terms: -12 + 12 = 0 0 + 3n = -13 + 12 3n = -13 + 12 Combine like terms: -13 + 12 = -1 3n = -1 Divide each side by '3'. n = -0.3333333333 Simplifying n = -0.3333333333
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