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Simplifying -3.1(2w + 5.4) + 4.1w = 43.0 Reorder the terms: -3.1(5.4 + 2w) + 4.1w = 43.0 (5.4 * -3.1 + 2w * -3.1) + 4.1w = 43.0 (-16.74 + -6.2w) + 4.1w = 43.0 Combine like terms: -6.2w + 4.1w = -2.1w -16.74 + -2.1w = 43.0 Solving -16.74 + -2.1w = 43.0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16.74' to each side of the equation. -16.74 + 16.74 + -2.1w = 43.0 + 16.74 Combine like terms: -16.74 + 16.74 = 0.00 0.00 + -2.1w = 43.0 + 16.74 -2.1w = 43.0 + 16.74 Combine like terms: 43.0 + 16.74 = 59.74 -2.1w = 59.74 Divide each side by '-2.1'. w = -28.44761905 Simplifying w = -28.44761905
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