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Simplifying 5w + -14 = 7w + 4 Reorder the terms: -14 + 5w = 7w + 4 Reorder the terms: -14 + 5w = 4 + 7w Solving -14 + 5w = 4 + 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. -14 + 5w + -7w = 4 + 7w + -7w Combine like terms: 5w + -7w = -2w -14 + -2w = 4 + 7w + -7w Combine like terms: 7w + -7w = 0 -14 + -2w = 4 + 0 -14 + -2w = 4 Add '14' to each side of the equation. -14 + 14 + -2w = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -2w = 4 + 14 -2w = 4 + 14 Combine like terms: 4 + 14 = 18 -2w = 18 Divide each side by '-2'. w = -9 Simplifying w = -9
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