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Simplifying 5w + 7 = 4w + -9 Reorder the terms: 7 + 5w = 4w + -9 Reorder the terms: 7 + 5w = -9 + 4w Solving 7 + 5w = -9 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 7 + 5w + -4w = -9 + 4w + -4w Combine like terms: 5w + -4w = 1w 7 + 1w = -9 + 4w + -4w Combine like terms: 4w + -4w = 0 7 + 1w = -9 + 0 7 + 1w = -9 Add '-7' to each side of the equation. 7 + -7 + 1w = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 1w = -9 + -7 1w = -9 + -7 Combine like terms: -9 + -7 = -16 1w = -16 Divide each side by '1'. w = -16 Simplifying w = -16
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