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Simplifying -4(3n + -6) + 6 = -6(3n + -1) Reorder the terms: -4(-6 + 3n) + 6 = -6(3n + -1) (-6 * -4 + 3n * -4) + 6 = -6(3n + -1) (24 + -12n) + 6 = -6(3n + -1) Reorder the terms: 24 + 6 + -12n = -6(3n + -1) Combine like terms: 24 + 6 = 30 30 + -12n = -6(3n + -1) Reorder the terms: 30 + -12n = -6(-1 + 3n) 30 + -12n = (-1 * -6 + 3n * -6) 30 + -12n = (6 + -18n) Solving 30 + -12n = 6 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 30 + -12n + 18n = 6 + -18n + 18n Combine like terms: -12n + 18n = 6n 30 + 6n = 6 + -18n + 18n Combine like terms: -18n + 18n = 0 30 + 6n = 6 + 0 30 + 6n = 6 Add '-30' to each side of the equation. 30 + -30 + 6n = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 6n = 6 + -30 6n = 6 + -30 Combine like terms: 6 + -30 = -24 6n = -24 Divide each side by '6'. n = -4 Simplifying n = -4
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