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Simplifying 2(w + -8) = -5w + -23 Reorder the terms: 2(-8 + w) = -5w + -23 (-8 * 2 + w * 2) = -5w + -23 (-16 + 2w) = -5w + -23 Reorder the terms: -16 + 2w = -23 + -5w Solving -16 + 2w = -23 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -16 + 2w + 5w = -23 + -5w + 5w Combine like terms: 2w + 5w = 7w -16 + 7w = -23 + -5w + 5w Combine like terms: -5w + 5w = 0 -16 + 7w = -23 + 0 -16 + 7w = -23 Add '16' to each side of the equation. -16 + 16 + 7w = -23 + 16 Combine like terms: -16 + 16 = 0 0 + 7w = -23 + 16 7w = -23 + 16 Combine like terms: -23 + 16 = -7 7w = -7 Divide each side by '7'. w = -1 Simplifying w = -1
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