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Simplifying 29 = 6(2 + -3n) + -1(-7n + -6) 29 = (2 * 6 + -3n * 6) + -1(-7n + -6) 29 = (12 + -18n) + -1(-7n + -6) Reorder the terms: 29 = 12 + -18n + -1(-6 + -7n) 29 = 12 + -18n + (-6 * -1 + -7n * -1) 29 = 12 + -18n + (6 + 7n) Reorder the terms: 29 = 12 + 6 + -18n + 7n Combine like terms: 12 + 6 = 18 29 = 18 + -18n + 7n Combine like terms: -18n + 7n = -11n 29 = 18 + -11n Solving 29 = 18 + -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. 29 + 11n = 18 + -11n + 11n Combine like terms: -11n + 11n = 0 29 + 11n = 18 + 0 29 + 11n = 18 Add '-29' to each side of the equation. 29 + -29 + 11n = 18 + -29 Combine like terms: 29 + -29 = 0 0 + 11n = 18 + -29 11n = 18 + -29 Combine like terms: 18 + -29 = -11 11n = -11 Divide each side by '11'. n = -1 Simplifying n = -1
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