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Simplifying -5(-2n + 4) = 4(3n + -8) Reorder the terms: -5(4 + -2n) = 4(3n + -8) (4 * -5 + -2n * -5) = 4(3n + -8) (-20 + 10n) = 4(3n + -8) Reorder the terms: -20 + 10n = 4(-8 + 3n) -20 + 10n = (-8 * 4 + 3n * 4) -20 + 10n = (-32 + 12n) Solving -20 + 10n = -32 + 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. -20 + 10n + -12n = -32 + 12n + -12n Combine like terms: 10n + -12n = -2n -20 + -2n = -32 + 12n + -12n Combine like terms: 12n + -12n = 0 -20 + -2n = -32 + 0 -20 + -2n = -32 Add '20' to each side of the equation. -20 + 20 + -2n = -32 + 20 Combine like terms: -20 + 20 = 0 0 + -2n = -32 + 20 -2n = -32 + 20 Combine like terms: -32 + 20 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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