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Simplifying 4w + 10 = -8w + -14 Reorder the terms: 10 + 4w = -8w + -14 Reorder the terms: 10 + 4w = -14 + -8w Solving 10 + 4w = -14 + -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. 10 + 4w + 8w = -14 + -8w + 8w Combine like terms: 4w + 8w = 12w 10 + 12w = -14 + -8w + 8w Combine like terms: -8w + 8w = 0 10 + 12w = -14 + 0 10 + 12w = -14 Add '-10' to each side of the equation. 10 + -10 + 12w = -14 + -10 Combine like terms: 10 + -10 = 0 0 + 12w = -14 + -10 12w = -14 + -10 Combine like terms: -14 + -10 = -24 12w = -24 Divide each side by '12'. w = -2 Simplifying w = -2
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