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Simplifying 6(n + -2) + -4(n + 3) = -14 Reorder the terms: 6(-2 + n) + -4(n + 3) = -14 (-2 * 6 + n * 6) + -4(n + 3) = -14 (-12 + 6n) + -4(n + 3) = -14 Reorder the terms: -12 + 6n + -4(3 + n) = -14 -12 + 6n + (3 * -4 + n * -4) = -14 -12 + 6n + (-12 + -4n) = -14 Reorder the terms: -12 + -12 + 6n + -4n = -14 Combine like terms: -12 + -12 = -24 -24 + 6n + -4n = -14 Combine like terms: 6n + -4n = 2n -24 + 2n = -14 Solving -24 + 2n = -14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 2n = -14 + 24 Combine like terms: -24 + 24 = 0 0 + 2n = -14 + 24 2n = -14 + 24 Combine like terms: -14 + 24 = 10 2n = 10 Divide each side by '2'. n = 5 Simplifying n = 5
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