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Simplifying 10n + 20 = 7n + -12 Reorder the terms: 20 + 10n = 7n + -12 Reorder the terms: 20 + 10n = -12 + 7n Solving 20 + 10n = -12 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 20 + 10n + -7n = -12 + 7n + -7n Combine like terms: 10n + -7n = 3n 20 + 3n = -12 + 7n + -7n Combine like terms: 7n + -7n = 0 20 + 3n = -12 + 0 20 + 3n = -12 Add '-20' to each side of the equation. 20 + -20 + 3n = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 3n = -12 + -20 3n = -12 + -20 Combine like terms: -12 + -20 = -32 3n = -32 Divide each side by '3'. n = -10.66666667 Simplifying n = -10.66666667
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