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Simplifying 6(1 + -3n) = 6(1 + -3n) + -4n (1 * 6 + -3n * 6) = 6(1 + -3n) + -4n (6 + -18n) = 6(1 + -3n) + -4n 6 + -18n = (1 * 6 + -3n * 6) + -4n 6 + -18n = (6 + -18n) + -4n Combine like terms: -18n + -4n = -22n 6 + -18n = 6 + -22n Add '-6' to each side of the equation. 6 + -6 + -18n = 6 + -6 + -22n Combine like terms: 6 + -6 = 0 0 + -18n = 6 + -6 + -22n -18n = 6 + -6 + -22n Combine like terms: 6 + -6 = 0 -18n = 0 + -22n -18n = -22n Solving -18n = -22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22n' to each side of the equation. -18n + 22n = -22n + 22n Combine like terms: -18n + 22n = 4n 4n = -22n + 22n Combine like terms: -22n + 22n = 0 4n = 0 Divide each side by '4'. n = 0 Simplifying n = 0
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