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Simplifying 4(w + -2) + 3w = -22 Reorder the terms: 4(-2 + w) + 3w = -22 (-2 * 4 + w * 4) + 3w = -22 (-8 + 4w) + 3w = -22 Combine like terms: 4w + 3w = 7w -8 + 7w = -22 Solving -8 + 7w = -22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7w = -22 + 8 Combine like terms: -8 + 8 = 0 0 + 7w = -22 + 8 7w = -22 + 8 Combine like terms: -22 + 8 = -14 7w = -14 Divide each side by '7'. w = -2 Simplifying w = -2
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