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Simplifying 4n + 12 = 2n + 30 Reorder the terms: 12 + 4n = 2n + 30 Reorder the terms: 12 + 4n = 30 + 2n Solving 12 + 4n = 30 + 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 + 4n + -2n = 30 + 2n + -2n Combine like terms: 4n + -2n = 2n 12 + 2n = 30 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + 2n = 30 + 0 12 + 2n = 30 Add '-12' to each side of the equation. 12 + -12 + 2n = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = 30 + -12 2n = 30 + -12 Combine like terms: 30 + -12 = 18 2n = 18 Divide each side by '2'. n = 9 Simplifying n = 9
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