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Simplifying -7(9n + 2) = -1(6n + -3) + -7 Reorder the terms: -7(2 + 9n) = -1(6n + -3) + -7 (2 * -7 + 9n * -7) = -1(6n + -3) + -7 (-14 + -63n) = -1(6n + -3) + -7 Reorder the terms: -14 + -63n = -1(-3 + 6n) + -7 -14 + -63n = (-3 * -1 + 6n * -1) + -7 -14 + -63n = (3 + -6n) + -7 Reorder the terms: -14 + -63n = 3 + -7 + -6n Combine like terms: 3 + -7 = -4 -14 + -63n = -4 + -6n Solving -14 + -63n = -4 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -14 + -63n + 6n = -4 + -6n + 6n Combine like terms: -63n + 6n = -57n -14 + -57n = -4 + -6n + 6n Combine like terms: -6n + 6n = 0 -14 + -57n = -4 + 0 -14 + -57n = -4 Add '14' to each side of the equation. -14 + 14 + -57n = -4 + 14 Combine like terms: -14 + 14 = 0 0 + -57n = -4 + 14 -57n = -4 + 14 Combine like terms: -4 + 14 = 10 -57n = 10 Divide each side by '-57'. n = -0.1754385965 Simplifying n = -0.1754385965
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