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Simplifying -2(7n + -4) + 4n = -4(3n + -2) Reorder the terms: -2(-4 + 7n) + 4n = -4(3n + -2) (-4 * -2 + 7n * -2) + 4n = -4(3n + -2) (8 + -14n) + 4n = -4(3n + -2) Combine like terms: -14n + 4n = -10n 8 + -10n = -4(3n + -2) Reorder the terms: 8 + -10n = -4(-2 + 3n) 8 + -10n = (-2 * -4 + 3n * -4) 8 + -10n = (8 + -12n) Add '-8' to each side of the equation. 8 + -8 + -10n = 8 + -8 + -12n Combine like terms: 8 + -8 = 0 0 + -10n = 8 + -8 + -12n -10n = 8 + -8 + -12n Combine like terms: 8 + -8 = 0 -10n = 0 + -12n -10n = -12n Solving -10n = -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. -10n + 12n = -12n + 12n Combine like terms: -10n + 12n = 2n 2n = -12n + 12n Combine like terms: -12n + 12n = 0 2n = 0 Divide each side by '2'. n = 0 Simplifying n = 0
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