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Simplifying 7(7n + 3) + -10(n + -9) = 0 Reorder the terms: 7(3 + 7n) + -10(n + -9) = 0 (3 * 7 + 7n * 7) + -10(n + -9) = 0 (21 + 49n) + -10(n + -9) = 0 Reorder the terms: 21 + 49n + -10(-9 + n) = 0 21 + 49n + (-9 * -10 + n * -10) = 0 21 + 49n + (90 + -10n) = 0 Reorder the terms: 21 + 90 + 49n + -10n = 0 Combine like terms: 21 + 90 = 111 111 + 49n + -10n = 0 Combine like terms: 49n + -10n = 39n 111 + 39n = 0 Solving 111 + 39n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-111' to each side of the equation. 111 + -111 + 39n = 0 + -111 Combine like terms: 111 + -111 = 0 0 + 39n = 0 + -111 39n = 0 + -111 Combine like terms: 0 + -111 = -111 39n = -111 Divide each side by '39'. n = -2.846153846 Simplifying n = -2.846153846
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