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Simplifying 0.6w + -1(0.8) = -6 + w Multiply -1 * 0.8 0.6w + -0.8 = -6 + w Reorder the terms: -0.8 + 0.6w = -6 + w Solving -0.8 + 0.6w = -6 + w 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. -0.8 + 0.6w + -1w = -6 + w + -1w Combine like terms: 0.6w + -1w = -0.4w -0.8 + -0.4w = -6 + w + -1w Combine like terms: w + -1w = 0 -0.8 + -0.4w = -6 + 0 -0.8 + -0.4w = -6 Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.4w = -6 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.4w = -6 + 0.8 -0.4w = -6 + 0.8 Combine like terms: -6 + 0.8 = -5.2 -0.4w = -5.2 Divide each side by '-0.4'. w = 13 Simplifying w = 13
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