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Simplifying 5 + 4w + -7 = 4w + 3 + -1w Reorder the terms: 5 + -7 + 4w = 4w + 3 + -1w Combine like terms: 5 + -7 = -2 -2 + 4w = 4w + 3 + -1w Reorder the terms: -2 + 4w = 3 + 4w + -1w Combine like terms: 4w + -1w = 3w -2 + 4w = 3 + 3w Solving -2 + 4w = 3 + 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. -2 + 4w + -3w = 3 + 3w + -3w Combine like terms: 4w + -3w = 1w -2 + 1w = 3 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + 1w = 3 + 0 -2 + 1w = 3 Add '2' to each side of the equation. -2 + 2 + 1w = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 1w = 3 + 2 1w = 3 + 2 Combine like terms: 3 + 2 = 5 1w = 5 Divide each side by '1'. w = 5 Simplifying w = 5
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