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