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Simplifying 2 + 3n = 42 + -7n Solving 2 + 3n = 42 + -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. 2 + 3n + 7n = 42 + -7n + 7n Combine like terms: 3n + 7n = 10n 2 + 10n = 42 + -7n + 7n Combine like terms: -7n + 7n = 0 2 + 10n = 42 + 0 2 + 10n = 42 Add '-2' to each side of the equation. 2 + -2 + 10n = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 10n = 42 + -2 10n = 42 + -2 Combine like terms: 42 + -2 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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