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Simplifying 6(n + -12) + -4(n + 3) = -14 Reorder the terms: 6(-12 + n) + -4(n + 3) = -14 (-12 * 6 + n * 6) + -4(n + 3) = -14 (-72 + 6n) + -4(n + 3) = -14 Reorder the terms: -72 + 6n + -4(3 + n) = -14 -72 + 6n + (3 * -4 + n * -4) = -14 -72 + 6n + (-12 + -4n) = -14 Reorder the terms: -72 + -12 + 6n + -4n = -14 Combine like terms: -72 + -12 = -84 -84 + 6n + -4n = -14 Combine like terms: 6n + -4n = 2n -84 + 2n = -14 Solving -84 + 2n = -14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 2n = -14 + 84 Combine like terms: -84 + 84 = 0 0 + 2n = -14 + 84 2n = -14 + 84 Combine like terms: -14 + 84 = 70 2n = 70 Divide each side by '2'. n = 35 Simplifying n = 35
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