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Simplifying -4(3 + 5n) + -6(-4n + 4) = -12 (3 * -4 + 5n * -4) + -6(-4n + 4) = -12 (-12 + -20n) + -6(-4n + 4) = -12 Reorder the terms: -12 + -20n + -6(4 + -4n) = -12 -12 + -20n + (4 * -6 + -4n * -6) = -12 -12 + -20n + (-24 + 24n) = -12 Reorder the terms: -12 + -24 + -20n + 24n = -12 Combine like terms: -12 + -24 = -36 -36 + -20n + 24n = -12 Combine like terms: -20n + 24n = 4n -36 + 4n = -12 Solving -36 + 4n = -12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 4n = -12 + 36 Combine like terms: -36 + 36 = 0 0 + 4n = -12 + 36 4n = -12 + 36 Combine like terms: -12 + 36 = 24 4n = 24 Divide each side by '4'. n = 6 Simplifying n = 6
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