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Simplifying 3n + 12 = 6n + -30 Reorder the terms: 12 + 3n = 6n + -30 Reorder the terms: 12 + 3n = -30 + 6n Solving 12 + 3n = -30 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 12 + 3n + -6n = -30 + 6n + -6n Combine like terms: 3n + -6n = -3n 12 + -3n = -30 + 6n + -6n Combine like terms: 6n + -6n = 0 12 + -3n = -30 + 0 12 + -3n = -30 Add '-12' to each side of the equation. 12 + -12 + -3n = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -3n = -30 + -12 -3n = -30 + -12 Combine like terms: -30 + -12 = -42 -3n = -42 Divide each side by '-3'. n = 14 Simplifying n = 14
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