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Simplifying 3w + -12 = 2w + 5 Reorder the terms: -12 + 3w = 2w + 5 Reorder the terms: -12 + 3w = 5 + 2w Solving -12 + 3w = 5 + 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. -12 + 3w + -2w = 5 + 2w + -2w Combine like terms: 3w + -2w = 1w -12 + 1w = 5 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + 1w = 5 + 0 -12 + 1w = 5 Add '12' to each side of the equation. -12 + 12 + 1w = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 1w = 5 + 12 1w = 5 + 12 Combine like terms: 5 + 12 = 17 1w = 17 Divide each side by '1'. w = 17 Simplifying w = 17
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