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Simplifying 2 + -6w = (-10w) + 10 Reorder the terms: 2 + -6w = 10 + (-10w) Solving 2 + -6w = 10 + (-10w) Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '(10w)' to each side of the equation. 2 + -6w + (10w) = 10 + (-10w) + (10w) Combine like terms: -6w + (10w) = 4w 2 + 4w = 10 + (-10w) + (10w) Combine like terms: (-10w) + (10w) = 0 2 + 4w = 10 + 0 2 + 4w = 10 Add '-2' to each side of the equation. 2 + -2 + 4w = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 4w = 10 + -2 4w = 10 + -2 Combine like terms: 10 + -2 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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