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Simplifying 10n + 7 = 4n + 37 Reorder the terms: 7 + 10n = 4n + 37 Reorder the terms: 7 + 10n = 37 + 4n Solving 7 + 10n = 37 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 7 + 10n + -4n = 37 + 4n + -4n Combine like terms: 10n + -4n = 6n 7 + 6n = 37 + 4n + -4n Combine like terms: 4n + -4n = 0 7 + 6n = 37 + 0 7 + 6n = 37 Add '-7' to each side of the equation. 7 + -7 + 6n = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 6n = 37 + -7 6n = 37 + -7 Combine like terms: 37 + -7 = 30 6n = 30 Divide each side by '6'. n = 5 Simplifying n = 5
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