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Simplifying 3(2n + 4) = 3(6n + 2w) Reorder the terms: 3(4 + 2n) = 3(6n + 2w) (4 * 3 + 2n * 3) = 3(6n + 2w) (12 + 6n) = 3(6n + 2w) 12 + 6n = (6n * 3 + 2w * 3) 12 + 6n = (18n + 6w) Solving 12 + 6n = 18n + 6w Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 12 + 6n + -18n = 18n + -18n + 6w Combine like terms: 6n + -18n = -12n 12 + -12n = 18n + -18n + 6w Combine like terms: 18n + -18n = 0 12 + -12n = 0 + 6w 12 + -12n = 6w Add '-12' to each side of the equation. 12 + -12 + -12n = -12 + 6w Combine like terms: 12 + -12 = 0 0 + -12n = -12 + 6w -12n = -12 + 6w Divide each side by '-12'. n = 1 + -0.5w Simplifying n = 1 + -0.5w
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