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Simplifying 29 + -7n = -6(3n + 7) + -6 Reorder the terms: 29 + -7n = -6(7 + 3n) + -6 29 + -7n = (7 * -6 + 3n * -6) + -6 29 + -7n = (-42 + -18n) + -6 Reorder the terms: 29 + -7n = -42 + -6 + -18n Combine like terms: -42 + -6 = -48 29 + -7n = -48 + -18n Solving 29 + -7n = -48 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 29 + -7n + 18n = -48 + -18n + 18n Combine like terms: -7n + 18n = 11n 29 + 11n = -48 + -18n + 18n Combine like terms: -18n + 18n = 0 29 + 11n = -48 + 0 29 + 11n = -48 Add '-29' to each side of the equation. 29 + -29 + 11n = -48 + -29 Combine like terms: 29 + -29 = 0 0 + 11n = -48 + -29 11n = -48 + -29 Combine like terms: -48 + -29 = -77 11n = -77 Divide each side by '11'. n = -7 Simplifying n = -7
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