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Simplifying 4 + -7 = 4w + -3w + 2 Combine like terms: 4 + -7 = -3 -3 = 4w + -3w + 2 Reorder the terms: -3 = 2 + 4w + -3w Combine like terms: 4w + -3w = 1w -3 = 2 + 1w Solving -3 = 2 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -3 + -1w = 2 + 1w + -1w Combine like terms: 1w + -1w = 0 -3 + -1w = 2 + 0 -3 + -1w = 2 Add '3' to each side of the equation. -3 + 3 + -1w = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -1w = 2 + 3 -1w = 2 + 3 Combine like terms: 2 + 3 = 5 -1w = 5 Divide each side by '-1'. w = -5 Simplifying w = -5
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