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Simplifying 10n + 2 = 7(n + 2) Reorder the terms: 2 + 10n = 7(n + 2) Reorder the terms: 2 + 10n = 7(2 + n) 2 + 10n = (2 * 7 + n * 7) 2 + 10n = (14 + 7n) Solving 2 + 10n = 14 + 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 + 10n + -7n = 14 + 7n + -7n Combine like terms: 10n + -7n = 3n 2 + 3n = 14 + 7n + -7n Combine like terms: 7n + -7n = 0 2 + 3n = 14 + 0 2 + 3n = 14 Add '-2' to each side of the equation. 2 + -2 + 3n = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = 14 + -2 3n = 14 + -2 Combine like terms: 14 + -2 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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