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Simplifying 6(1 + n) = -29 + -1n (1 * 6 + n * 6) = -29 + -1n (6 + 6n) = -29 + -1n Solving 6 + 6n = -29 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 6 + 6n + n = -29 + -1n + n Combine like terms: 6n + n = 7n 6 + 7n = -29 + -1n + n Combine like terms: -1n + n = 0 6 + 7n = -29 + 0 6 + 7n = -29 Add '-6' to each side of the equation. 6 + -6 + 7n = -29 + -6 Combine like terms: 6 + -6 = 0 0 + 7n = -29 + -6 7n = -29 + -6 Combine like terms: -29 + -6 = -35 7n = -35 Divide each side by '7'. n = -5 Simplifying n = -5
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