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Simplifying 3(2n + -4) + -2n = 30 + -6 Reorder the terms: 3(-4 + 2n) + -2n = 30 + -6 (-4 * 3 + 2n * 3) + -2n = 30 + -6 (-12 + 6n) + -2n = 30 + -6 Combine like terms: 6n + -2n = 4n -12 + 4n = 30 + -6 Combine like terms: 30 + -6 = 24 -12 + 4n = 24 Solving -12 + 4n = 24 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4n = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 4n = 24 + 12 4n = 24 + 12 Combine like terms: 24 + 12 = 36 4n = 36 Divide each side by '4'. n = 9 Simplifying n = 9
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