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Simplifying -5.6w + -4.1 = 1.6w + 3.1 Reorder the terms: -4.1 + -5.6w = 1.6w + 3.1 Reorder the terms: -4.1 + -5.6w = 3.1 + 1.6w Solving -4.1 + -5.6w = 3.1 + 1.6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.6w' to each side of the equation. -4.1 + -5.6w + -1.6w = 3.1 + 1.6w + -1.6w Combine like terms: -5.6w + -1.6w = -7.2w -4.1 + -7.2w = 3.1 + 1.6w + -1.6w Combine like terms: 1.6w + -1.6w = 0.0 -4.1 + -7.2w = 3.1 + 0.0 -4.1 + -7.2w = 3.1 Add '4.1' to each side of the equation. -4.1 + 4.1 + -7.2w = 3.1 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + -7.2w = 3.1 + 4.1 -7.2w = 3.1 + 4.1 Combine like terms: 3.1 + 4.1 = 7.2 -7.2w = 7.2 Divide each side by '-7.2'. w = -1 Simplifying w = -1
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