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Simplifying 4.7w + 0.5 = 6.7w + -0.5 Reorder the terms: 0.5 + 4.7w = 6.7w + -0.5 Reorder the terms: 0.5 + 4.7w = -0.5 + 6.7w Solving 0.5 + 4.7w = -0.5 + 6.7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6.7w' to each side of the equation. 0.5 + 4.7w + -6.7w = -0.5 + 6.7w + -6.7w Combine like terms: 4.7w + -6.7w = -2w 0.5 + -2w = -0.5 + 6.7w + -6.7w Combine like terms: 6.7w + -6.7w = 0.0 0.5 + -2w = -0.5 + 0.0 0.5 + -2w = -0.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -2w = -0.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -2w = -0.5 + -0.5 -2w = -0.5 + -0.5 Combine like terms: -0.5 + -0.5 = -1 -2w = -1 Divide each side by '-2'. w = 0.5 Simplifying w = 0.5
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