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Simplifying 8.3w + -1.3 = 6.1w + -7.9 Reorder the terms: -1.3 + 8.3w = 6.1w + -7.9 Reorder the terms: -1.3 + 8.3w = -7.9 + 6.1w Solving -1.3 + 8.3w = -7.9 + 6.1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6.1w' to each side of the equation. -1.3 + 8.3w + -6.1w = -7.9 + 6.1w + -6.1w Combine like terms: 8.3w + -6.1w = 2.2w -1.3 + 2.2w = -7.9 + 6.1w + -6.1w Combine like terms: 6.1w + -6.1w = 0.0 -1.3 + 2.2w = -7.9 + 0.0 -1.3 + 2.2w = -7.9 Add '1.3' to each side of the equation. -1.3 + 1.3 + 2.2w = -7.9 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + 2.2w = -7.9 + 1.3 2.2w = -7.9 + 1.3 Combine like terms: -7.9 + 1.3 = -6.6 2.2w = -6.6 Divide each side by '2.2'. w = -3 Simplifying w = -3
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