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Simplifying 12 + -6n + 2n = 5n + -42 Combine like terms: -6n + 2n = -4n 12 + -4n = 5n + -42 Reorder the terms: 12 + -4n = -42 + 5n Solving 12 + -4n = -42 + 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 + -4n + -5n = -42 + 5n + -5n Combine like terms: -4n + -5n = -9n 12 + -9n = -42 + 5n + -5n Combine like terms: 5n + -5n = 0 12 + -9n = -42 + 0 12 + -9n = -42 Add '-12' to each side of the equation. 12 + -12 + -9n = -42 + -12 Combine like terms: 12 + -12 = 0 0 + -9n = -42 + -12 -9n = -42 + -12 Combine like terms: -42 + -12 = -54 -9n = -54 Divide each side by '-9'. n = 6 Simplifying n = 6
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