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Simplifying -42 = -6(-3n + 6) + 6(n + -3) Reorder the terms: -42 = -6(6 + -3n) + 6(n + -3) -42 = (6 * -6 + -3n * -6) + 6(n + -3) -42 = (-36 + 18n) + 6(n + -3) Reorder the terms: -42 = -36 + 18n + 6(-3 + n) -42 = -36 + 18n + (-3 * 6 + n * 6) -42 = -36 + 18n + (-18 + 6n) Reorder the terms: -42 = -36 + -18 + 18n + 6n Combine like terms: -36 + -18 = -54 -42 = -54 + 18n + 6n Combine like terms: 18n + 6n = 24n -42 = -54 + 24n Solving -42 = -54 + 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. -42 + -24n = -54 + 24n + -24n Combine like terms: 24n + -24n = 0 -42 + -24n = -54 + 0 -42 + -24n = -54 Add '42' to each side of the equation. -42 + 42 + -24n = -54 + 42 Combine like terms: -42 + 42 = 0 0 + -24n = -54 + 42 -24n = -54 + 42 Combine like terms: -54 + 42 = -12 -24n = -12 Divide each side by '-24'. n = 0.5 Simplifying n = 0.5
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