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Simplifying -5 + 6(1 + 7n) = -28 + 7n -5 + (1 * 6 + 7n * 6) = -28 + 7n -5 + (6 + 42n) = -28 + 7n Combine like terms: -5 + 6 = 1 1 + 42n = -28 + 7n Solving 1 + 42n = -28 + 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. 1 + 42n + -7n = -28 + 7n + -7n Combine like terms: 42n + -7n = 35n 1 + 35n = -28 + 7n + -7n Combine like terms: 7n + -7n = 0 1 + 35n = -28 + 0 1 + 35n = -28 Add '-1' to each side of the equation. 1 + -1 + 35n = -28 + -1 Combine like terms: 1 + -1 = 0 0 + 35n = -28 + -1 35n = -28 + -1 Combine like terms: -28 + -1 = -29 35n = -29 Divide each side by '35'. n = -0.8285714286 Simplifying n = -0.8285714286
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