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Simplifying 2w + 12 = 3w + 4 Reorder the terms: 12 + 2w = 3w + 4 Reorder the terms: 12 + 2w = 4 + 3w Solving 12 + 2w = 4 + 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. 12 + 2w + -3w = 4 + 3w + -3w Combine like terms: 2w + -3w = -1w 12 + -1w = 4 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + -1w = 4 + 0 12 + -1w = 4 Add '-12' to each side of the equation. 12 + -12 + -1w = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 4 + -12 -1w = 4 + -12 Combine like terms: 4 + -12 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8
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