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Simplifying -3.6w + -2.6 = -4.1w + -4.6 Reorder the terms: -2.6 + -3.6w = -4.1w + -4.6 Reorder the terms: -2.6 + -3.6w = -4.6 + -4.1w Solving -2.6 + -3.6w = -4.6 + -4.1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4.1w' to each side of the equation. -2.6 + -3.6w + 4.1w = -4.6 + -4.1w + 4.1w Combine like terms: -3.6w + 4.1w = 0.5w -2.6 + 0.5w = -4.6 + -4.1w + 4.1w Combine like terms: -4.1w + 4.1w = 0.0 -2.6 + 0.5w = -4.6 + 0.0 -2.6 + 0.5w = -4.6 Add '2.6' to each side of the equation. -2.6 + 2.6 + 0.5w = -4.6 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 0.5w = -4.6 + 2.6 0.5w = -4.6 + 2.6 Combine like terms: -4.6 + 2.6 = -2 0.5w = -2 Divide each side by '0.5'. w = -4 Simplifying w = -4
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