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Simplifying 5(w + -6) + 3w = -22 Reorder the terms: 5(-6 + w) + 3w = -22 (-6 * 5 + w * 5) + 3w = -22 (-30 + 5w) + 3w = -22 Combine like terms: 5w + 3w = 8w -30 + 8w = -22 Solving -30 + 8w = -22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 8w = -22 + 30 Combine like terms: -30 + 30 = 0 0 + 8w = -22 + 30 8w = -22 + 30 Combine like terms: -22 + 30 = 8 8w = 8 Divide each side by '8'. w = 1 Simplifying w = 1
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