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Simplifying -4(1w + 1) + 6w = 2(2w + 2) + -8 Reorder the terms: -4(1 + 1w) + 6w = 2(2w + 2) + -8 (1 * -4 + 1w * -4) + 6w = 2(2w + 2) + -8 (-4 + -4w) + 6w = 2(2w + 2) + -8 Combine like terms: -4w + 6w = 2w -4 + 2w = 2(2w + 2) + -8 Reorder the terms: -4 + 2w = 2(2 + 2w) + -8 -4 + 2w = (2 * 2 + 2w * 2) + -8 -4 + 2w = (4 + 4w) + -8 Reorder the terms: -4 + 2w = 4 + -8 + 4w Combine like terms: 4 + -8 = -4 -4 + 2w = -4 + 4w Add '4' to each side of the equation. -4 + 4 + 2w = -4 + 4 + 4w Combine like terms: -4 + 4 = 0 0 + 2w = -4 + 4 + 4w 2w = -4 + 4 + 4w Combine like terms: -4 + 4 = 0 2w = 0 + 4w 2w = 4w Solving 2w = 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. 2w + -4w = 4w + -4w Combine like terms: 2w + -4w = -2w -2w = 4w + -4w Combine like terms: 4w + -4w = 0 -2w = 0 Divide each side by '-2'. w = 0 Simplifying w = 0
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