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Simplifying 6 + 7(1 + 3n) = -29 + 7n 6 + (1 * 7 + 3n * 7) = -29 + 7n 6 + (7 + 21n) = -29 + 7n Combine like terms: 6 + 7 = 13 13 + 21n = -29 + 7n Solving 13 + 21n = -29 + 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. 13 + 21n + -7n = -29 + 7n + -7n Combine like terms: 21n + -7n = 14n 13 + 14n = -29 + 7n + -7n Combine like terms: 7n + -7n = 0 13 + 14n = -29 + 0 13 + 14n = -29 Add '-13' to each side of the equation. 13 + -13 + 14n = -29 + -13 Combine like terms: 13 + -13 = 0 0 + 14n = -29 + -13 14n = -29 + -13 Combine like terms: -29 + -13 = -42 14n = -42 Divide each side by '14'. n = -3 Simplifying n = -3
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