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Simplifying 9 + -7(9n + 2) = -3(7n + 7) + 6 Reorder the terms: 9 + -7(2 + 9n) = -3(7n + 7) + 6 9 + (2 * -7 + 9n * -7) = -3(7n + 7) + 6 9 + (-14 + -63n) = -3(7n + 7) + 6 Combine like terms: 9 + -14 = -5 -5 + -63n = -3(7n + 7) + 6 Reorder the terms: -5 + -63n = -3(7 + 7n) + 6 -5 + -63n = (7 * -3 + 7n * -3) + 6 -5 + -63n = (-21 + -21n) + 6 Reorder the terms: -5 + -63n = -21 + 6 + -21n Combine like terms: -21 + 6 = -15 -5 + -63n = -15 + -21n Solving -5 + -63n = -15 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. -5 + -63n + 21n = -15 + -21n + 21n Combine like terms: -63n + 21n = -42n -5 + -42n = -15 + -21n + 21n Combine like terms: -21n + 21n = 0 -5 + -42n = -15 + 0 -5 + -42n = -15 Add '5' to each side of the equation. -5 + 5 + -42n = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -42n = -15 + 5 -42n = -15 + 5 Combine like terms: -15 + 5 = -10 -42n = -10 Divide each side by '-42'. n = 0.2380952381 Simplifying n = 0.2380952381
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