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Simplifying 12 + 2n = 9(n + -7) + -2 Reorder the terms: 12 + 2n = 9(-7 + n) + -2 12 + 2n = (-7 * 9 + n * 9) + -2 12 + 2n = (-63 + 9n) + -2 Reorder the terms: 12 + 2n = -63 + -2 + 9n Combine like terms: -63 + -2 = -65 12 + 2n = -65 + 9n Solving 12 + 2n = -65 + 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 = -65 + 9n + -9n Combine like terms: 2n + -9n = -7n 12 + -7n = -65 + 9n + -9n Combine like terms: 9n + -9n = 0 12 + -7n = -65 + 0 12 + -7n = -65 Add '-12' to each side of the equation. 12 + -12 + -7n = -65 + -12 Combine like terms: 12 + -12 = 0 0 + -7n = -65 + -12 -7n = -65 + -12 Combine like terms: -65 + -12 = -77 -7n = -77 Divide each side by '-7'. n = 11 Simplifying n = 11
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