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Simplifying 2(w + 2) = -6(2w + -3) + 6w Reorder the terms: 2(2 + w) = -6(2w + -3) + 6w (2 * 2 + w * 2) = -6(2w + -3) + 6w (4 + 2w) = -6(2w + -3) + 6w Reorder the terms: 4 + 2w = -6(-3 + 2w) + 6w 4 + 2w = (-3 * -6 + 2w * -6) + 6w 4 + 2w = (18 + -12w) + 6w Combine like terms: -12w + 6w = -6w 4 + 2w = 18 + -6w Solving 4 + 2w = 18 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 4 + 2w + 6w = 18 + -6w + 6w Combine like terms: 2w + 6w = 8w 4 + 8w = 18 + -6w + 6w Combine like terms: -6w + 6w = 0 4 + 8w = 18 + 0 4 + 8w = 18 Add '-4' to each side of the equation. 4 + -4 + 8w = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 8w = 18 + -4 8w = 18 + -4 Combine like terms: 18 + -4 = 14 8w = 14 Divide each side by '8'. w = 1.75 Simplifying w = 1.75
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