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Simplifying -9 + 4w + 2 = w + -1 Reorder the terms: -9 + 2 + 4w = w + -1 Combine like terms: -9 + 2 = -7 -7 + 4w = w + -1 Reorder the terms: -7 + 4w = -1 + w Solving -7 + 4w = -1 + w 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. -7 + 4w + -1w = -1 + w + -1w Combine like terms: 4w + -1w = 3w -7 + 3w = -1 + w + -1w Combine like terms: w + -1w = 0 -7 + 3w = -1 + 0 -7 + 3w = -1 Add '7' to each side of the equation. -7 + 7 + 3w = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 3w = -1 + 7 3w = -1 + 7 Combine like terms: -1 + 7 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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