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Simplifying -6(-2N + -9) = -5(4N + -10) Reorder the terms: -6(-9 + -2N) = -5(4N + -10) (-9 * -6 + -2N * -6) = -5(4N + -10) (54 + 12N) = -5(4N + -10) Reorder the terms: 54 + 12N = -5(-10 + 4N) 54 + 12N = (-10 * -5 + 4N * -5) 54 + 12N = (50 + -20N) Solving 54 + 12N = 50 + -20N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '20N' to each side of the equation. 54 + 12N + 20N = 50 + -20N + 20N Combine like terms: 12N + 20N = 32N 54 + 32N = 50 + -20N + 20N Combine like terms: -20N + 20N = 0 54 + 32N = 50 + 0 54 + 32N = 50 Add '-54' to each side of the equation. 54 + -54 + 32N = 50 + -54 Combine like terms: 54 + -54 = 0 0 + 32N = 50 + -54 32N = 50 + -54 Combine like terms: 50 + -54 = -4 32N = -4 Divide each side by '32'. N = -0.125 Simplifying N = -0.125
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