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Simplifying 2(w + 6) + -6w = 4(w + 3) Reorder the terms: 2(6 + w) + -6w = 4(w + 3) (6 * 2 + w * 2) + -6w = 4(w + 3) (12 + 2w) + -6w = 4(w + 3) Combine like terms: 2w + -6w = -4w 12 + -4w = 4(w + 3) Reorder the terms: 12 + -4w = 4(3 + w) 12 + -4w = (3 * 4 + w * 4) 12 + -4w = (12 + 4w) Add '-12' to each side of the equation. 12 + -12 + -4w = 12 + -12 + 4w Combine like terms: 12 + -12 = 0 0 + -4w = 12 + -12 + 4w -4w = 12 + -12 + 4w Combine like terms: 12 + -12 = 0 -4w = 0 + 4w -4w = 4w Solving -4w = 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. -4w + -4w = 4w + -4w Combine like terms: -4w + -4w = -8w -8w = 4w + -4w Combine like terms: 4w + -4w = 0 -8w = 0 Divide each side by '-8'. w = 0 Simplifying w = 0
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