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Simplifying -4w + 2 = -2(w + -7) Reorder the terms: 2 + -4w = -2(w + -7) Reorder the terms: 2 + -4w = -2(-7 + w) 2 + -4w = (-7 * -2 + w * -2) 2 + -4w = (14 + -2w) Solving 2 + -4w = 14 + -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. 2 + -4w + 2w = 14 + -2w + 2w Combine like terms: -4w + 2w = -2w 2 + -2w = 14 + -2w + 2w Combine like terms: -2w + 2w = 0 2 + -2w = 14 + 0 2 + -2w = 14 Add '-2' to each side of the equation. 2 + -2 + -2w = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -2w = 14 + -2 -2w = 14 + -2 Combine like terms: 14 + -2 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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