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Simplifying 100 + -2(n + -4) = 7n Reorder the terms: 100 + -2(-4 + n) = 7n 100 + (-4 * -2 + n * -2) = 7n 100 + (8 + -2n) = 7n Combine like terms: 100 + 8 = 108 108 + -2n = 7n Solving 108 + -2n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 108 + -2n + -7n = 7n + -7n Combine like terms: -2n + -7n = -9n 108 + -9n = 7n + -7n Combine like terms: 7n + -7n = 0 108 + -9n = 0 Add '-108' to each side of the equation. 108 + -108 + -9n = 0 + -108 Combine like terms: 108 + -108 = 0 0 + -9n = 0 + -108 -9n = 0 + -108 Combine like terms: 0 + -108 = -108 -9n = -108 Divide each side by '-9'. n = 12 Simplifying n = 12
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