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Simplifying 45(n + 6) = 35n Reorder the terms: 45(6 + n) = 35n (6 * 45 + n * 45) = 35n (270 + 45n) = 35n Solving 270 + 45n = 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 270 + 45n + -35n = 35n + -35n Combine like terms: 45n + -35n = 10n 270 + 10n = 35n + -35n Combine like terms: 35n + -35n = 0 270 + 10n = 0 Add '-270' to each side of the equation. 270 + -270 + 10n = 0 + -270 Combine like terms: 270 + -270 = 0 0 + 10n = 0 + -270 10n = 0 + -270 Combine like terms: 0 + -270 = -270 10n = -270 Divide each side by '10'. n = -27 Simplifying n = -27
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