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Simplifying -9 + -6(-9 + -6N) = -9(2N + 1) -9 + (-9 * -6 + -6N * -6) = -9(2N + 1) -9 + (54 + 36N) = -9(2N + 1) Combine like terms: -9 + 54 = 45 45 + 36N = -9(2N + 1) Reorder the terms: 45 + 36N = -9(1 + 2N) 45 + 36N = (1 * -9 + 2N * -9) 45 + 36N = (-9 + -18N) Solving 45 + 36N = -9 + -18N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '18N' to each side of the equation. 45 + 36N + 18N = -9 + -18N + 18N Combine like terms: 36N + 18N = 54N 45 + 54N = -9 + -18N + 18N Combine like terms: -18N + 18N = 0 45 + 54N = -9 + 0 45 + 54N = -9 Add '-45' to each side of the equation. 45 + -45 + 54N = -9 + -45 Combine like terms: 45 + -45 = 0 0 + 54N = -9 + -45 54N = -9 + -45 Combine like terms: -9 + -45 = -54 54N = -54 Divide each side by '54'. N = -1 Simplifying N = -1
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