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Simplifying 8.77 + -5.3w = -13.1w + -14.63 Reorder the terms: 8.77 + -5.3w = -14.63 + -13.1w Solving 8.77 + -5.3w = -14.63 + -13.1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13.1w' to each side of the equation. 8.77 + -5.3w + 13.1w = -14.63 + -13.1w + 13.1w Combine like terms: -5.3w + 13.1w = 7.8w 8.77 + 7.8w = -14.63 + -13.1w + 13.1w Combine like terms: -13.1w + 13.1w = 0.0 8.77 + 7.8w = -14.63 + 0.0 8.77 + 7.8w = -14.63 Add '-8.77' to each side of the equation. 8.77 + -8.77 + 7.8w = -14.63 + -8.77 Combine like terms: 8.77 + -8.77 = 0.00 0.00 + 7.8w = -14.63 + -8.77 7.8w = -14.63 + -8.77 Combine like terms: -14.63 + -8.77 = -23.4 7.8w = -23.4 Divide each side by '7.8'. w = -3 Simplifying w = -3
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