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Simplifying 8w + -10 + w = 14 + 10w + 4 Reorder the terms: -10 + 8w + w = 14 + 10w + 4 Combine like terms: 8w + w = 9w -10 + 9w = 14 + 10w + 4 Reorder the terms: -10 + 9w = 14 + 4 + 10w Combine like terms: 14 + 4 = 18 -10 + 9w = 18 + 10w Solving -10 + 9w = 18 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -10 + 9w + -10w = 18 + 10w + -10w Combine like terms: 9w + -10w = -1w -10 + -1w = 18 + 10w + -10w Combine like terms: 10w + -10w = 0 -10 + -1w = 18 + 0 -10 + -1w = 18 Add '10' to each side of the equation. -10 + 10 + -1w = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -1w = 18 + 10 -1w = 18 + 10 Combine like terms: 18 + 10 = 28 -1w = 28 Divide each side by '-1'. w = -28 Simplifying w = -28
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