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Simplifying 5.2w + -22 = 6w Reorder the terms: -22 + 5.2w = 6w Solving -22 + 5.2w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -22 + 5.2w + -6w = 6w + -6w Combine like terms: 5.2w + -6w = -0.8w -22 + -0.8w = 6w + -6w Combine like terms: 6w + -6w = 0 -22 + -0.8w = 0 Add '22' to each side of the equation. -22 + 22 + -0.8w = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -0.8w = 0 + 22 -0.8w = 0 + 22 Combine like terms: 0 + 22 = 22 -0.8w = 22 Divide each side by '-0.8'. w = -27.5 Simplifying w = -27.5
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