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Simplifying -1.8 + -3 = 7w + -5.5 + -6w Combine like terms: -1.8 + -3 = -4.8 -4.8 = 7w + -5.5 + -6w Reorder the terms: -4.8 = -5.5 + 7w + -6w Combine like terms: 7w + -6w = 1w -4.8 = -5.5 + 1w Solving -4.8 = -5.5 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -4.8 + -1w = -5.5 + 1w + -1w Combine like terms: 1w + -1w = 0 -4.8 + -1w = -5.5 + 0 -4.8 + -1w = -5.5 Add '4.8' to each side of the equation. -4.8 + 4.8 + -1w = -5.5 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + -1w = -5.5 + 4.8 -1w = -5.5 + 4.8 Combine like terms: -5.5 + 4.8 = -0.7 -1w = -0.7 Divide each side by '-1'. w = 0.7 Simplifying w = 0.7
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