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Simplifying 2w + -1 + -3w = 3w + -6 Reorder the terms: -1 + 2w + -3w = 3w + -6 Combine like terms: 2w + -3w = -1w -1 + -1w = 3w + -6 Reorder the terms: -1 + -1w = -6 + 3w Solving -1 + -1w = -6 + 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. -1 + -1w + -3w = -6 + 3w + -3w Combine like terms: -1w + -3w = -4w -1 + -4w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 -1 + -4w = -6 + 0 -1 + -4w = -6 Add '1' to each side of the equation. -1 + 1 + -4w = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -4w = -6 + 1 -4w = -6 + 1 Combine like terms: -6 + 1 = -5 -4w = -5 Divide each side by '-4'. w = 1.25 Simplifying w = 1.25
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