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Simplifying 5(w + -2) + -7w = -30 Reorder the terms: 5(-2 + w) + -7w = -30 (-2 * 5 + w * 5) + -7w = -30 (-10 + 5w) + -7w = -30 Combine like terms: 5w + -7w = -2w -10 + -2w = -30 Solving -10 + -2w = -30 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2w = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -2w = -30 + 10 -2w = -30 + 10 Combine like terms: -30 + 10 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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