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Simplifying 5w + 3z + -6 = w Reorder the terms: -6 + 5w + 3z = w Solving -6 + 5w + 3z = 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. -6 + 5w + -1w + 3z = w + -1w Combine like terms: 5w + -1w = 4w -6 + 4w + 3z = w + -1w Combine like terms: w + -1w = 0 -6 + 4w + 3z = 0 Add '6' to each side of the equation. -6 + 4w + 6 + 3z = 0 + 6 Reorder the terms: -6 + 6 + 4w + 3z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4w + 3z = 0 + 6 4w + 3z = 0 + 6 Combine like terms: 0 + 6 = 6 4w + 3z = 6 Add '-3z' to each side of the equation. 4w + 3z + -3z = 6 + -3z Combine like terms: 3z + -3z = 0 4w + 0 = 6 + -3z 4w = 6 + -3z Divide each side by '4'. w = 1.5 + -0.75z Simplifying w = 1.5 + -0.75z
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