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Simplifying 0.5(12n + -4) = 14 + -10 Reorder the terms: 0.5(-4 + 12n) = 14 + -10 (-4 * 0.5 + 12n * 0.5) = 14 + -10 (-2 + 6n) = 14 + -10 Combine like terms: 14 + -10 = 4 -2 + 6n = 4 Solving -2 + 6n = 4 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6n = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 6n = 4 + 2 6n = 4 + 2 Combine like terms: 4 + 2 = 6 6n = 6 Divide each side by '6'. n = 1 Simplifying n = 1
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