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Simplifying 3(2n + -4) = 5(n + 2) Reorder the terms: 3(-4 + 2n) = 5(n + 2) (-4 * 3 + 2n * 3) = 5(n + 2) (-12 + 6n) = 5(n + 2) Reorder the terms: -12 + 6n = 5(2 + n) -12 + 6n = (2 * 5 + n * 5) -12 + 6n = (10 + 5n) Solving -12 + 6n = 10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -12 + 6n + -5n = 10 + 5n + -5n Combine like terms: 6n + -5n = 1n -12 + 1n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 -12 + 1n = 10 + 0 -12 + 1n = 10 Add '12' to each side of the equation. -12 + 12 + 1n = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 1n = 10 + 12 1n = 10 + 12 Combine like terms: 10 + 12 = 22 1n = 22 Divide each side by '1'. n = 22 Simplifying n = 22
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