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Simplifying 5w + 30 = 7w + -18 Reorder the terms: 30 + 5w = 7w + -18 Reorder the terms: 30 + 5w = -18 + 7w Solving 30 + 5w = -18 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 30 + 5w + -7w = -18 + 7w + -7w Combine like terms: 5w + -7w = -2w 30 + -2w = -18 + 7w + -7w Combine like terms: 7w + -7w = 0 30 + -2w = -18 + 0 30 + -2w = -18 Add '-30' to each side of the equation. 30 + -30 + -2w = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -2w = -18 + -30 -2w = -18 + -30 Combine like terms: -18 + -30 = -48 -2w = -48 Divide each side by '-2'. w = 24 Simplifying w = 24
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