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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 = -8w -12 + -8w = 4(w + 3) Reorder the terms: -12 + -8w = 4(3 + w) -12 + -8w = (3 * 4 + w * 4) -12 + -8w = (12 + 4w) Solving -12 + -8w = 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. -12 + -8w + -4w = 12 + 4w + -4w Combine like terms: -8w + -4w = -12w -12 + -12w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 -12 + -12w = 12 + 0 -12 + -12w = 12 Add '12' to each side of the equation. -12 + 12 + -12w = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -12w = 12 + 12 -12w = 12 + 12 Combine like terms: 12 + 12 = 24 -12w = 24 Divide each side by '-12'. w = -2 Simplifying w = -2
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