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Simplifying -4(n + -2) = -6(6 + 3n) + 2 Reorder the terms: -4(-2 + n) = -6(6 + 3n) + 2 (-2 * -4 + n * -4) = -6(6 + 3n) + 2 (8 + -4n) = -6(6 + 3n) + 2 8 + -4n = (6 * -6 + 3n * -6) + 2 8 + -4n = (-36 + -18n) + 2 Reorder the terms: 8 + -4n = -36 + 2 + -18n Combine like terms: -36 + 2 = -34 8 + -4n = -34 + -18n Solving 8 + -4n = -34 + -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. 8 + -4n + 18n = -34 + -18n + 18n Combine like terms: -4n + 18n = 14n 8 + 14n = -34 + -18n + 18n Combine like terms: -18n + 18n = 0 8 + 14n = -34 + 0 8 + 14n = -34 Add '-8' to each side of the equation. 8 + -8 + 14n = -34 + -8 Combine like terms: 8 + -8 = 0 0 + 14n = -34 + -8 14n = -34 + -8 Combine like terms: -34 + -8 = -42 14n = -42 Divide each side by '14'. n = -3 Simplifying n = -3
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