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Simplifying 8 + 3(2w + -2) = -2(2w + -4) + 6w Reorder the terms: 8 + 3(-2 + 2w) = -2(2w + -4) + 6w 8 + (-2 * 3 + 2w * 3) = -2(2w + -4) + 6w 8 + (-6 + 6w) = -2(2w + -4) + 6w Combine like terms: 8 + -6 = 2 2 + 6w = -2(2w + -4) + 6w Reorder the terms: 2 + 6w = -2(-4 + 2w) + 6w 2 + 6w = (-4 * -2 + 2w * -2) + 6w 2 + 6w = (8 + -4w) + 6w Combine like terms: -4w + 6w = 2w 2 + 6w = 8 + 2w Solving 2 + 6w = 8 + 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 + 6w + -2w = 8 + 2w + -2w Combine like terms: 6w + -2w = 4w 2 + 4w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 2 + 4w = 8 + 0 2 + 4w = 8 Add '-2' to each side of the equation. 2 + -2 + 4w = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 4w = 8 + -2 4w = 8 + -2 Combine like terms: 8 + -2 = 6 4w = 6 Divide each side by '4'. w = 1.5 Simplifying w = 1.5
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