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Simplifying -122 = -6(1 + -4n) + 4 -122 = (1 * -6 + -4n * -6) + 4 -122 = (-6 + 24n) + 4 Reorder the terms: -122 = -6 + 4 + 24n Combine like terms: -6 + 4 = -2 -122 = -2 + 24n Solving -122 = -2 + 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. -122 + -24n = -2 + 24n + -24n Combine like terms: 24n + -24n = 0 -122 + -24n = -2 + 0 -122 + -24n = -2 Add '122' to each side of the equation. -122 + 122 + -24n = -2 + 122 Combine like terms: -122 + 122 = 0 0 + -24n = -2 + 122 -24n = -2 + 122 Combine like terms: -2 + 122 = 120 -24n = 120 Divide each side by '-24'. n = -5 Simplifying n = -5
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