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Simplifying 4(3n + -6) = 2(5n + -2) Reorder the terms: 4(-6 + 3n) = 2(5n + -2) (-6 * 4 + 3n * 4) = 2(5n + -2) (-24 + 12n) = 2(5n + -2) Reorder the terms: -24 + 12n = 2(-2 + 5n) -24 + 12n = (-2 * 2 + 5n * 2) -24 + 12n = (-4 + 10n) Solving -24 + 12n = -4 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -24 + 12n + -10n = -4 + 10n + -10n Combine like terms: 12n + -10n = 2n -24 + 2n = -4 + 10n + -10n Combine like terms: 10n + -10n = 0 -24 + 2n = -4 + 0 -24 + 2n = -4 Add '24' to each side of the equation. -24 + 24 + 2n = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 2n = -4 + 24 2n = -4 + 24 Combine like terms: -4 + 24 = 20 2n = 20 Divide each side by '2'. n = 10 Simplifying n = 10
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