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Simplifying 10(9 + -2n) = -5n (9 * 10 + -2n * 10) = -5n (90 + -20n) = -5n Solving 90 + -20n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 90 + -20n + 5n = -5n + 5n Combine like terms: -20n + 5n = -15n 90 + -15n = -5n + 5n Combine like terms: -5n + 5n = 0 90 + -15n = 0 Add '-90' to each side of the equation. 90 + -90 + -15n = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -15n = 0 + -90 -15n = 0 + -90 Combine like terms: 0 + -90 = -90 -15n = -90 Divide each side by '-15'. n = 6 Simplifying n = 6
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