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Simplifying -2(-9w + 4) + -8w = 2(w + -8) + -4 Reorder the terms: -2(4 + -9w) + -8w = 2(w + -8) + -4 (4 * -2 + -9w * -2) + -8w = 2(w + -8) + -4 (-8 + 18w) + -8w = 2(w + -8) + -4 Combine like terms: 18w + -8w = 10w -8 + 10w = 2(w + -8) + -4 Reorder the terms: -8 + 10w = 2(-8 + w) + -4 -8 + 10w = (-8 * 2 + w * 2) + -4 -8 + 10w = (-16 + 2w) + -4 Reorder the terms: -8 + 10w = -16 + -4 + 2w Combine like terms: -16 + -4 = -20 -8 + 10w = -20 + 2w Solving -8 + 10w = -20 + 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. -8 + 10w + -2w = -20 + 2w + -2w Combine like terms: 10w + -2w = 8w -8 + 8w = -20 + 2w + -2w Combine like terms: 2w + -2w = 0 -8 + 8w = -20 + 0 -8 + 8w = -20 Add '8' to each side of the equation. -8 + 8 + 8w = -20 + 8 Combine like terms: -8 + 8 = 0 0 + 8w = -20 + 8 8w = -20 + 8 Combine like terms: -20 + 8 = -12 8w = -12 Divide each side by '8'. w = -1.5 Simplifying w = -1.5
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