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Simplifying -4n + 4912 + 10n = -6(-5 + -7n) Reorder the terms: 4912 + -4n + 10n = -6(-5 + -7n) Combine like terms: -4n + 10n = 6n 4912 + 6n = -6(-5 + -7n) 4912 + 6n = (-5 * -6 + -7n * -6) 4912 + 6n = (30 + 42n) Solving 4912 + 6n = 30 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 4912 + 6n + -42n = 30 + 42n + -42n Combine like terms: 6n + -42n = -36n 4912 + -36n = 30 + 42n + -42n Combine like terms: 42n + -42n = 0 4912 + -36n = 30 + 0 4912 + -36n = 30 Add '-4912' to each side of the equation. 4912 + -4912 + -36n = 30 + -4912 Combine like terms: 4912 + -4912 = 0 0 + -36n = 30 + -4912 -36n = 30 + -4912 Combine like terms: 30 + -4912 = -4882 -36n = -4882 Divide each side by '-36'. n = 135.6111111 Simplifying n = 135.6111111
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