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Simplifying -7(-2w + 4) + -2w = 2(w + -8) + -7 Reorder the terms: -7(4 + -2w) + -2w = 2(w + -8) + -7 (4 * -7 + -2w * -7) + -2w = 2(w + -8) + -7 (-28 + 14w) + -2w = 2(w + -8) + -7 Combine like terms: 14w + -2w = 12w -28 + 12w = 2(w + -8) + -7 Reorder the terms: -28 + 12w = 2(-8 + w) + -7 -28 + 12w = (-8 * 2 + w * 2) + -7 -28 + 12w = (-16 + 2w) + -7 Reorder the terms: -28 + 12w = -16 + -7 + 2w Combine like terms: -16 + -7 = -23 -28 + 12w = -23 + 2w Solving -28 + 12w = -23 + 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. -28 + 12w + -2w = -23 + 2w + -2w Combine like terms: 12w + -2w = 10w -28 + 10w = -23 + 2w + -2w Combine like terms: 2w + -2w = 0 -28 + 10w = -23 + 0 -28 + 10w = -23 Add '28' to each side of the equation. -28 + 28 + 10w = -23 + 28 Combine like terms: -28 + 28 = 0 0 + 10w = -23 + 28 10w = -23 + 28 Combine like terms: -23 + 28 = 5 10w = 5 Divide each side by '10'. w = 0.5 Simplifying w = 0.5
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