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Simplifying w + -7 = 8w + 3 + -5w Reorder the terms: -7 + w = 8w + 3 + -5w Reorder the terms: -7 + w = 3 + 8w + -5w Combine like terms: 8w + -5w = 3w -7 + w = 3 + 3w Solving -7 + w = 3 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -7 + w + -3w = 3 + 3w + -3w Combine like terms: w + -3w = -2w -7 + -2w = 3 + 3w + -3w Combine like terms: 3w + -3w = 0 -7 + -2w = 3 + 0 -7 + -2w = 3 Add '7' to each side of the equation. -7 + 7 + -2w = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -2w = 3 + 7 -2w = 3 + 7 Combine like terms: 3 + 7 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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