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Simplifying 2(w + 4) = -2(7w + -5) + 8w Reorder the terms: 2(4 + w) = -2(7w + -5) + 8w (4 * 2 + w * 2) = -2(7w + -5) + 8w (8 + 2w) = -2(7w + -5) + 8w Reorder the terms: 8 + 2w = -2(-5 + 7w) + 8w 8 + 2w = (-5 * -2 + 7w * -2) + 8w 8 + 2w = (10 + -14w) + 8w Combine like terms: -14w + 8w = -6w 8 + 2w = 10 + -6w Solving 8 + 2w = 10 + -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. 8 + 2w + 6w = 10 + -6w + 6w Combine like terms: 2w + 6w = 8w 8 + 8w = 10 + -6w + 6w Combine like terms: -6w + 6w = 0 8 + 8w = 10 + 0 8 + 8w = 10 Add '-8' to each side of the equation. 8 + -8 + 8w = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 8w = 10 + -8 8w = 10 + -8 Combine like terms: 10 + -8 = 2 8w = 2 Divide each side by '8'. w = 0.25 Simplifying w = 0.25
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