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Simplifying 3w + -1(-4) = 6 + -1w Multiply -1 * -4 3w + 4 = 6 + -1w Reorder the terms: 4 + 3w = 6 + -1w Solving 4 + 3w = 6 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 4 + 3w + w = 6 + -1w + w Combine like terms: 3w + w = 4w 4 + 4w = 6 + -1w + w Combine like terms: -1w + w = 0 4 + 4w = 6 + 0 4 + 4w = 6 Add '-4' to each side of the equation. 4 + -4 + 4w = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 4w = 6 + -4 4w = 6 + -4 Combine like terms: 6 + -4 = 2 4w = 2 Divide each side by '4'. w = 0.5 Simplifying w = 0.5
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