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Simplifying 2(2w + -23) = -3w + 10 Reorder the terms: 2(-23 + 2w) = -3w + 10 (-23 * 2 + 2w * 2) = -3w + 10 (-46 + 4w) = -3w + 10 Reorder the terms: -46 + 4w = 10 + -3w Solving -46 + 4w = 10 + -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. -46 + 4w + 3w = 10 + -3w + 3w Combine like terms: 4w + 3w = 7w -46 + 7w = 10 + -3w + 3w Combine like terms: -3w + 3w = 0 -46 + 7w = 10 + 0 -46 + 7w = 10 Add '46' to each side of the equation. -46 + 46 + 7w = 10 + 46 Combine like terms: -46 + 46 = 0 0 + 7w = 10 + 46 7w = 10 + 46 Combine like terms: 10 + 46 = 56 7w = 56 Divide each side by '7'. w = 8 Simplifying w = 8
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