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Simplifying w + -8 + -4 = 2w + -5 Reorder the terms: -8 + -4 + w = 2w + -5 Combine like terms: -8 + -4 = -12 -12 + w = 2w + -5 Reorder the terms: -12 + w = -5 + 2w Solving -12 + w = -5 + 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. -12 + w + -2w = -5 + 2w + -2w Combine like terms: w + -2w = -1w -12 + -1w = -5 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + -1w = -5 + 0 -12 + -1w = -5 Add '12' to each side of the equation. -12 + 12 + -1w = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -1w = -5 + 12 -1w = -5 + 12 Combine like terms: -5 + 12 = 7 -1w = 7 Divide each side by '-1'. w = -7 Simplifying w = -7
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