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Simplifying 6(1 + -4n) = 2(-5 + -1n) + -6 (1 * 6 + -4n * 6) = 2(-5 + -1n) + -6 (6 + -24n) = 2(-5 + -1n) + -6 6 + -24n = (-5 * 2 + -1n * 2) + -6 6 + -24n = (-10 + -2n) + -6 Reorder the terms: 6 + -24n = -10 + -6 + -2n Combine like terms: -10 + -6 = -16 6 + -24n = -16 + -2n Solving 6 + -24n = -16 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 6 + -24n + 2n = -16 + -2n + 2n Combine like terms: -24n + 2n = -22n 6 + -22n = -16 + -2n + 2n Combine like terms: -2n + 2n = 0 6 + -22n = -16 + 0 6 + -22n = -16 Add '-6' to each side of the equation. 6 + -6 + -22n = -16 + -6 Combine like terms: 6 + -6 = 0 0 + -22n = -16 + -6 -22n = -16 + -6 Combine like terms: -16 + -6 = -22 -22n = -22 Divide each side by '-22'. n = 1 Simplifying n = 1
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