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Simplifying 5w + -5 = 12w + -2 + -1w Reorder the terms: -5 + 5w = 12w + -2 + -1w Reorder the terms: -5 + 5w = -2 + 12w + -1w Combine like terms: 12w + -1w = 11w -5 + 5w = -2 + 11w Solving -5 + 5w = -2 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -5 + 5w + -11w = -2 + 11w + -11w Combine like terms: 5w + -11w = -6w -5 + -6w = -2 + 11w + -11w Combine like terms: 11w + -11w = 0 -5 + -6w = -2 + 0 -5 + -6w = -2 Add '5' to each side of the equation. -5 + 5 + -6w = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -6w = -2 + 5 -6w = -2 + 5 Combine like terms: -2 + 5 = 3 -6w = 3 Divide each side by '-6'. w = -0.5 Simplifying w = -0.5
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