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Simplifying -137 = 6(1 + 4n) + 1 -137 = (1 * 6 + 4n * 6) + 1 -137 = (6 + 24n) + 1 Reorder the terms: -137 = 6 + 1 + 24n Combine like terms: 6 + 1 = 7 -137 = 7 + 24n Solving -137 = 7 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -137 + -24n = 7 + 24n + -24n Combine like terms: 24n + -24n = 0 -137 + -24n = 7 + 0 -137 + -24n = 7 Add '137' to each side of the equation. -137 + 137 + -24n = 7 + 137 Combine like terms: -137 + 137 = 0 0 + -24n = 7 + 137 -24n = 7 + 137 Combine like terms: 7 + 137 = 144 -24n = 144 Divide each side by '-24'. n = -6 Simplifying n = -6
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