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Simplifying 4w + -3 = 2w + 7 Reorder the terms: -3 + 4w = 2w + 7 Reorder the terms: -3 + 4w = 7 + 2w Solving -3 + 4w = 7 + 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. -3 + 4w + -2w = 7 + 2w + -2w Combine like terms: 4w + -2w = 2w -3 + 2w = 7 + 2w + -2w Combine like terms: 2w + -2w = 0 -3 + 2w = 7 + 0 -3 + 2w = 7 Add '3' to each side of the equation. -3 + 3 + 2w = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 2w = 7 + 3 2w = 7 + 3 Combine like terms: 7 + 3 = 10 2w = 10 Divide each side by '2'. w = 5 Simplifying w = 5
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