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Simplifying 4w + 5 = w + -7 Reorder the terms: 5 + 4w = w + -7 Reorder the terms: 5 + 4w = -7 + w Solving 5 + 4w = -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. 5 + 4w + -1w = -7 + w + -1w Combine like terms: 4w + -1w = 3w 5 + 3w = -7 + w + -1w Combine like terms: w + -1w = 0 5 + 3w = -7 + 0 5 + 3w = -7 Add '-5' to each side of the equation. 5 + -5 + 3w = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = -7 + -5 3w = -7 + -5 Combine like terms: -7 + -5 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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