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Simplifying -7(9n + 6) = -7 + 9(8 + 7n) Reorder the terms: -7(6 + 9n) = -7 + 9(8 + 7n) (6 * -7 + 9n * -7) = -7 + 9(8 + 7n) (-42 + -63n) = -7 + 9(8 + 7n) -42 + -63n = -7 + (8 * 9 + 7n * 9) -42 + -63n = -7 + (72 + 63n) Combine like terms: -7 + 72 = 65 -42 + -63n = 65 + 63n Solving -42 + -63n = 65 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. -42 + -63n + -63n = 65 + 63n + -63n Combine like terms: -63n + -63n = -126n -42 + -126n = 65 + 63n + -63n Combine like terms: 63n + -63n = 0 -42 + -126n = 65 + 0 -42 + -126n = 65 Add '42' to each side of the equation. -42 + 42 + -126n = 65 + 42 Combine like terms: -42 + 42 = 0 0 + -126n = 65 + 42 -126n = 65 + 42 Combine like terms: 65 + 42 = 107 -126n = 107 Divide each side by '-126'. n = -0.8492063492 Simplifying n = -0.8492063492
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