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Simplifying n + 6 = 2n(2 + 3) Reorder the terms: 6 + n = 2n(2 + 3) Combine like terms: 2 + 3 = 5 6 + n = 2n(5) Reorder the terms for easier multiplication: 6 + n = 2 * 5n Multiply 2 * 5 6 + n = 10n Solving 6 + n = 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. 6 + n + -10n = 10n + -10n Combine like terms: n + -10n = -9n 6 + -9n = 10n + -10n Combine like terms: 10n + -10n = 0 6 + -9n = 0 Add '-6' to each side of the equation. 6 + -6 + -9n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -9n = 0 + -6 -9n = 0 + -6 Combine like terms: 0 + -6 = -6 -9n = -6 Divide each side by '-9'. n = 0.6666666667 Simplifying n = 0.6666666667
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