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Simplifying 5.1w + 15 = 4.5w + -15 Reorder the terms: 15 + 5.1w = 4.5w + -15 Reorder the terms: 15 + 5.1w = -15 + 4.5w Solving 15 + 5.1w = -15 + 4.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4.5w' to each side of the equation. 15 + 5.1w + -4.5w = -15 + 4.5w + -4.5w Combine like terms: 5.1w + -4.5w = 0.6w 15 + 0.6w = -15 + 4.5w + -4.5w Combine like terms: 4.5w + -4.5w = 0.0 15 + 0.6w = -15 + 0.0 15 + 0.6w = -15 Add '-15' to each side of the equation. 15 + -15 + 0.6w = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 0.6w = -15 + -15 0.6w = -15 + -15 Combine like terms: -15 + -15 = -30 0.6w = -30 Divide each side by '0.6'. w = -50 Simplifying w = -50
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