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Simplifying 4w + 22 = -3w Reorder the terms: 22 + 4w = -3w Solving 22 + 4w = -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 22 + 4w + 3w = -3w + 3w Combine like terms: 4w + 3w = 7w 22 + 7w = -3w + 3w Combine like terms: -3w + 3w = 0 22 + 7w = 0 Add '-22' to each side of the equation. 22 + -22 + 7w = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 7w = 0 + -22 7w = 0 + -22 Combine like terms: 0 + -22 = -22 7w = -22 Divide each side by '7'. w = -3.142857143 Simplifying w = -3.142857143
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