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Simplifying 5w + -14 = 8w + 4 Reorder the terms: -14 + 5w = 8w + 4 Reorder the terms: -14 + 5w = 4 + 8w Solving -14 + 5w = 4 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -14 + 5w + -8w = 4 + 8w + -8w Combine like terms: 5w + -8w = -3w -14 + -3w = 4 + 8w + -8w Combine like terms: 8w + -8w = 0 -14 + -3w = 4 + 0 -14 + -3w = 4 Add '14' to each side of the equation. -14 + 14 + -3w = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -3w = 4 + 14 -3w = 4 + 14 Combine like terms: 4 + 14 = 18 -3w = 18 Divide each side by '-3'. w = -6 Simplifying w = -6
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