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Simplifying 6(3n + -5) = 12n + -42 Reorder the terms: 6(-5 + 3n) = 12n + -42 (-5 * 6 + 3n * 6) = 12n + -42 (-30 + 18n) = 12n + -42 Reorder the terms: -30 + 18n = -42 + 12n Solving -30 + 18n = -42 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -30 + 18n + -12n = -42 + 12n + -12n Combine like terms: 18n + -12n = 6n -30 + 6n = -42 + 12n + -12n Combine like terms: 12n + -12n = 0 -30 + 6n = -42 + 0 -30 + 6n = -42 Add '30' to each side of the equation. -30 + 30 + 6n = -42 + 30 Combine like terms: -30 + 30 = 0 0 + 6n = -42 + 30 6n = -42 + 30 Combine like terms: -42 + 30 = -12 6n = -12 Divide each side by '6'. n = -2 Simplifying n = -2
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