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Simplifying 12 + -7n = 2n + 30 Reorder the terms: 12 + -7n = 30 + 2n Solving 12 + -7n = 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 + -7n + -2n = 30 + 2n + -2n Combine like terms: -7n + -2n = -9n 12 + -9n = 30 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + -9n = 30 + 0 12 + -9n = 30 Add '-12' to each side of the equation. 12 + -12 + -9n = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -9n = 30 + -12 -9n = 30 + -12 Combine like terms: 30 + -12 = 18 -9n = 18 Divide each side by '-9'. n = -2 Simplifying n = -2
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