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Simplifying 2(3w + -4) = 4(w + 3) Reorder the terms: 2(-4 + 3w) = 4(w + 3) (-4 * 2 + 3w * 2) = 4(w + 3) (-8 + 6w) = 4(w + 3) Reorder the terms: -8 + 6w = 4(3 + w) -8 + 6w = (3 * 4 + w * 4) -8 + 6w = (12 + 4w) Solving -8 + 6w = 12 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -8 + 6w + -4w = 12 + 4w + -4w Combine like terms: 6w + -4w = 2w -8 + 2w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 -8 + 2w = 12 + 0 -8 + 2w = 12 Add '8' to each side of the equation. -8 + 8 + 2w = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2w = 12 + 8 2w = 12 + 8 Combine like terms: 12 + 8 = 20 2w = 20 Divide each side by '2'. w = 10 Simplifying w = 10
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