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Simplifying -6(1 + -7n) = 29 + 7n (1 * -6 + -7n * -6) = 29 + 7n (-6 + 42n) = 29 + 7n Solving -6 + 42n = 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. -6 + 42n + -7n = 29 + 7n + -7n Combine like terms: 42n + -7n = 35n -6 + 35n = 29 + 7n + -7n Combine like terms: 7n + -7n = 0 -6 + 35n = 29 + 0 -6 + 35n = 29 Add '6' to each side of the equation. -6 + 6 + 35n = 29 + 6 Combine like terms: -6 + 6 = 0 0 + 35n = 29 + 6 35n = 29 + 6 Combine like terms: 29 + 6 = 35 35n = 35 Divide each side by '35'. n = 1 Simplifying n = 1
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