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Simplifying -7w + -24 = -5w + -30 Reorder the terms: -24 + -7w = -5w + -30 Reorder the terms: -24 + -7w = -30 + -5w Solving -24 + -7w = -30 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -24 + -7w + 5w = -30 + -5w + 5w Combine like terms: -7w + 5w = -2w -24 + -2w = -30 + -5w + 5w Combine like terms: -5w + 5w = 0 -24 + -2w = -30 + 0 -24 + -2w = -30 Add '24' to each side of the equation. -24 + 24 + -2w = -30 + 24 Combine like terms: -24 + 24 = 0 0 + -2w = -30 + 24 -2w = -30 + 24 Combine like terms: -30 + 24 = -6 -2w = -6 Divide each side by '-2'. w = 3 Simplifying w = 3
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