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Simplifying 5 + -3w + 4 = w + -7 Reorder the terms: 5 + 4 + -3w = w + -7 Combine like terms: 5 + 4 = 9 9 + -3w = w + -7 Reorder the terms: 9 + -3w = -7 + w Solving 9 + -3w = -7 + 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. 9 + -3w + -1w = -7 + w + -1w Combine like terms: -3w + -1w = -4w 9 + -4w = -7 + w + -1w Combine like terms: w + -1w = 0 9 + -4w = -7 + 0 9 + -4w = -7 Add '-9' to each side of the equation. 9 + -9 + -4w = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -4w = -7 + -9 -4w = -7 + -9 Combine like terms: -7 + -9 = -16 -4w = -16 Divide each side by '-4'. w = 4 Simplifying w = 4
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