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Simplifying 2(n + -6) = 9(n + 7) Reorder the terms: 2(-6 + n) = 9(n + 7) (-6 * 2 + n * 2) = 9(n + 7) (-12 + 2n) = 9(n + 7) Reorder the terms: -12 + 2n = 9(7 + n) -12 + 2n = (7 * 9 + n * 9) -12 + 2n = (63 + 9n) Solving -12 + 2n = 63 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -12 + 2n + -9n = 63 + 9n + -9n Combine like terms: 2n + -9n = -7n -12 + -7n = 63 + 9n + -9n Combine like terms: 9n + -9n = 0 -12 + -7n = 63 + 0 -12 + -7n = 63 Add '12' to each side of the equation. -12 + 12 + -7n = 63 + 12 Combine like terms: -12 + 12 = 0 0 + -7n = 63 + 12 -7n = 63 + 12 Combine like terms: 63 + 12 = 75 -7n = 75 Divide each side by '-7'. n = -10.71428571 Simplifying n = -10.71428571
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