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Simplifying -7(5n + -6) = -3(-9n + -11) + 9 Reorder the terms: -7(-6 + 5n) = -3(-9n + -11) + 9 (-6 * -7 + 5n * -7) = -3(-9n + -11) + 9 (42 + -35n) = -3(-9n + -11) + 9 Reorder the terms: 42 + -35n = -3(-11 + -9n) + 9 42 + -35n = (-11 * -3 + -9n * -3) + 9 42 + -35n = (33 + 27n) + 9 Reorder the terms: 42 + -35n = 33 + 9 + 27n Combine like terms: 33 + 9 = 42 42 + -35n = 42 + 27n Add '-42' to each side of the equation. 42 + -42 + -35n = 42 + -42 + 27n Combine like terms: 42 + -42 = 0 0 + -35n = 42 + -42 + 27n -35n = 42 + -42 + 27n Combine like terms: 42 + -42 = 0 -35n = 0 + 27n -35n = 27n Solving -35n = 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. -35n + -27n = 27n + -27n Combine like terms: -35n + -27n = -62n -62n = 27n + -27n Combine like terms: 27n + -27n = 0 -62n = 0 Divide each side by '-62'. n = 0 Simplifying n = 0
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