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Simplifying 6(4n + -4) + -7(6n + -4) = 0 Reorder the terms: 6(-4 + 4n) + -7(6n + -4) = 0 (-4 * 6 + 4n * 6) + -7(6n + -4) = 0 (-24 + 24n) + -7(6n + -4) = 0 Reorder the terms: -24 + 24n + -7(-4 + 6n) = 0 -24 + 24n + (-4 * -7 + 6n * -7) = 0 -24 + 24n + (28 + -42n) = 0 Reorder the terms: -24 + 28 + 24n + -42n = 0 Combine like terms: -24 + 28 = 4 4 + 24n + -42n = 0 Combine like terms: 24n + -42n = -18n 4 + -18n = 0 Solving 4 + -18n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -18n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -18n = 0 + -4 -18n = 0 + -4 Combine like terms: 0 + -4 = -4 -18n = -4 Divide each side by '-18'. n = 0.2222222222 Simplifying n = 0.2222222222
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