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Simplifying 3w + -1 = 5w + 6 Reorder the terms: -1 + 3w = 5w + 6 Reorder the terms: -1 + 3w = 6 + 5w Solving -1 + 3w = 6 + 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. -1 + 3w + -5w = 6 + 5w + -5w Combine like terms: 3w + -5w = -2w -1 + -2w = 6 + 5w + -5w Combine like terms: 5w + -5w = 0 -1 + -2w = 6 + 0 -1 + -2w = 6 Add '1' to each side of the equation. -1 + 1 + -2w = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -2w = 6 + 1 -2w = 6 + 1 Combine like terms: 6 + 1 = 7 -2w = 7 Divide each side by '-2'. w = -3.5 Simplifying w = -3.5
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