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Simplifying -4(w + 2) + 2 = 2(w + 6) Reorder the terms: -4(2 + w) + 2 = 2(w + 6) (2 * -4 + w * -4) + 2 = 2(w + 6) (-8 + -4w) + 2 = 2(w + 6) Reorder the terms: -8 + 2 + -4w = 2(w + 6) Combine like terms: -8 + 2 = -6 -6 + -4w = 2(w + 6) Reorder the terms: -6 + -4w = 2(6 + w) -6 + -4w = (6 * 2 + w * 2) -6 + -4w = (12 + 2w) Solving -6 + -4w = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -6 + -4w + -2w = 12 + 2w + -2w Combine like terms: -4w + -2w = -6w -6 + -6w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 -6 + -6w = 12 + 0 -6 + -6w = 12 Add '6' to each side of the equation. -6 + 6 + -6w = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -6w = 12 + 6 -6w = 12 + 6 Combine like terms: 12 + 6 = 18 -6w = 18 Divide each side by '-6'. w = -3 Simplifying w = -3
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