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Simplifying 3n + -2 = 2(6 + 5n) Reorder the terms: -2 + 3n = 2(6 + 5n) -2 + 3n = (6 * 2 + 5n * 2) -2 + 3n = (12 + 10n) Solving -2 + 3n = 12 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -2 + 3n + -10n = 12 + 10n + -10n Combine like terms: 3n + -10n = -7n -2 + -7n = 12 + 10n + -10n Combine like terms: 10n + -10n = 0 -2 + -7n = 12 + 0 -2 + -7n = 12 Add '2' to each side of the equation. -2 + 2 + -7n = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -7n = 12 + 2 -7n = 12 + 2 Combine like terms: 12 + 2 = 14 -7n = 14 Divide each side by '-7'. n = -2 Simplifying n = -2
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