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Simplifying 6w + -6.5 = 2w + -1 Reorder the terms: -6.5 + 6w = 2w + -1 Reorder the terms: -6.5 + 6w = -1 + 2w Solving -6.5 + 6w = -1 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -6.5 + 6w + -2w = -1 + 2w + -2w Combine like terms: 6w + -2w = 4w -6.5 + 4w = -1 + 2w + -2w Combine like terms: 2w + -2w = 0 -6.5 + 4w = -1 + 0 -6.5 + 4w = -1 Add '6.5' to each side of the equation. -6.5 + 6.5 + 4w = -1 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 4w = -1 + 6.5 4w = -1 + 6.5 Combine like terms: -1 + 6.5 = 5.5 4w = 5.5 Divide each side by '4'. w = 1.375 Simplifying w = 1.375
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