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Simplifying 12 + 2.1w = 1.3w Solving 12 + 2.1w = 1.3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.3w' to each side of the equation. 12 + 2.1w + -1.3w = 1.3w + -1.3w Combine like terms: 2.1w + -1.3w = 0.8w 12 + 0.8w = 1.3w + -1.3w Combine like terms: 1.3w + -1.3w = 0.0 12 + 0.8w = 0.0 Add '-12' to each side of the equation. 12 + -12 + 0.8w = 0.0 + -12 Combine like terms: 12 + -12 = 0 0 + 0.8w = 0.0 + -12 0.8w = 0.0 + -12 Combine like terms: 0.0 + -12 = -12 0.8w = -12 Divide each side by '0.8'. w = -15 Simplifying w = -15
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