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Simplifying 0.5(8n + 12n + -6) = 12n + -15 Reorder the terms: 0.5(-6 + 8n + 12n) = 12n + -15 Combine like terms: 8n + 12n = 20n 0.5(-6 + 20n) = 12n + -15 (-6 * 0.5 + 20n * 0.5) = 12n + -15 (-3 + 10n) = 12n + -15 Reorder the terms: -3 + 10n = -15 + 12n Solving -3 + 10n = -15 + 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. -3 + 10n + -12n = -15 + 12n + -12n Combine like terms: 10n + -12n = -2n -3 + -2n = -15 + 12n + -12n Combine like terms: 12n + -12n = 0 -3 + -2n = -15 + 0 -3 + -2n = -15 Add '3' to each side of the equation. -3 + 3 + -2n = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -2n = -15 + 3 -2n = -15 + 3 Combine like terms: -15 + 3 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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