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Simplifying 0.50w + -8 = 4w + 6 Reorder the terms: -8 + 0.50w = 4w + 6 Reorder the terms: -8 + 0.50w = 6 + 4w Solving -8 + 0.50w = 6 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -8 + 0.50w + -4w = 6 + 4w + -4w Combine like terms: 0.50w + -4w = -3.5w -8 + -3.5w = 6 + 4w + -4w Combine like terms: 4w + -4w = 0 -8 + -3.5w = 6 + 0 -8 + -3.5w = 6 Add '8' to each side of the equation. -8 + 8 + -3.5w = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -3.5w = 6 + 8 -3.5w = 6 + 8 Combine like terms: 6 + 8 = 14 -3.5w = 14 Divide each side by '-3.5'. w = -4 Simplifying w = -4
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