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Simplifying 7(w + -5) + -2w = -30 Reorder the terms: 7(-5 + w) + -2w = -30 (-5 * 7 + w * 7) + -2w = -30 (-35 + 7w) + -2w = -30 Combine like terms: 7w + -2w = 5w -35 + 5w = -30 Solving -35 + 5w = -30 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 5w = -30 + 35 Combine like terms: -35 + 35 = 0 0 + 5w = -30 + 35 5w = -30 + 35 Combine like terms: -30 + 35 = 5 5w = 5 Divide each side by '5'. w = 1 Simplifying w = 1
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