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Simplifying -0.7w + -0.6 = 6.4w + 6.5 Reorder the terms: -0.6 + -0.7w = 6.4w + 6.5 Reorder the terms: -0.6 + -0.7w = 6.5 + 6.4w Solving -0.6 + -0.7w = 6.5 + 6.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6.4w' to each side of the equation. -0.6 + -0.7w + -6.4w = 6.5 + 6.4w + -6.4w Combine like terms: -0.7w + -6.4w = -7.1w -0.6 + -7.1w = 6.5 + 6.4w + -6.4w Combine like terms: 6.4w + -6.4w = 0.0 -0.6 + -7.1w = 6.5 + 0.0 -0.6 + -7.1w = 6.5 Add '0.6' to each side of the equation. -0.6 + 0.6 + -7.1w = 6.5 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -7.1w = 6.5 + 0.6 -7.1w = 6.5 + 0.6 Combine like terms: 6.5 + 0.6 = 7.1 -7.1w = 7.1 Divide each side by '-7.1'. w = -1 Simplifying w = -1
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