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Simplifying 6w + 10 = 2w + 12 Reorder the terms: 10 + 6w = 2w + 12 Reorder the terms: 10 + 6w = 12 + 2w Solving 10 + 6w = 12 + 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. 10 + 6w + -2w = 12 + 2w + -2w Combine like terms: 6w + -2w = 4w 10 + 4w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 10 + 4w = 12 + 0 10 + 4w = 12 Add '-10' to each side of the equation. 10 + -10 + 4w = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 4w = 12 + -10 4w = 12 + -10 Combine like terms: 12 + -10 = 2 4w = 2 Divide each side by '4'. w = 0.5 Simplifying w = 0.5
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