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Simplifying 7 + 10n + -2 = 6n + 33 + -3n Reorder the terms: 7 + -2 + 10n = 6n + 33 + -3n Combine like terms: 7 + -2 = 5 5 + 10n = 6n + 33 + -3n Reorder the terms: 5 + 10n = 33 + 6n + -3n Combine like terms: 6n + -3n = 3n 5 + 10n = 33 + 3n Solving 5 + 10n = 33 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 5 + 10n + -3n = 33 + 3n + -3n Combine like terms: 10n + -3n = 7n 5 + 7n = 33 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 7n = 33 + 0 5 + 7n = 33 Add '-5' to each side of the equation. 5 + -5 + 7n = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 7n = 33 + -5 7n = 33 + -5 Combine like terms: 33 + -5 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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