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Simplifying 3w + -5 = 2w + -9 Reorder the terms: -5 + 3w = 2w + -9 Reorder the terms: -5 + 3w = -9 + 2w Solving -5 + 3w = -9 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -5 + 3w + -2w = -9 + 2w + -2w Combine like terms: 3w + -2w = 1w -5 + 1w = -9 + 2w + -2w Combine like terms: 2w + -2w = 0 -5 + 1w = -9 + 0 -5 + 1w = -9 Add '5' to each side of the equation. -5 + 5 + 1w = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 1w = -9 + 5 1w = -9 + 5 Combine like terms: -9 + 5 = -4 1w = -4 Divide each side by '1'. w = -4 Simplifying w = -4
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