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Simplifying 100 = 2(-7n + 6) + 3n Reorder the terms: 100 = 2(6 + -7n) + 3n 100 = (6 * 2 + -7n * 2) + 3n 100 = (12 + -14n) + 3n Combine like terms: -14n + 3n = -11n 100 = 12 + -11n Solving 100 = 12 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. 100 + 11n = 12 + -11n + 11n Combine like terms: -11n + 11n = 0 100 + 11n = 12 + 0 100 + 11n = 12 Add '-100' to each side of the equation. 100 + -100 + 11n = 12 + -100 Combine like terms: 100 + -100 = 0 0 + 11n = 12 + -100 11n = 12 + -100 Combine like terms: 12 + -100 = -88 11n = -88 Divide each side by '11'. n = -8 Simplifying n = -8
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