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Simplifying 5w + 8 + -12z = 16 + -15w Reorder the terms: 8 + 5w + -12z = 16 + -15w Solving 8 + 5w + -12z = 16 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 8 + 5w + 15w + -12z = 16 + -15w + 15w Combine like terms: 5w + 15w = 20w 8 + 20w + -12z = 16 + -15w + 15w Combine like terms: -15w + 15w = 0 8 + 20w + -12z = 16 + 0 8 + 20w + -12z = 16 Add '-8' to each side of the equation. 8 + 20w + -8 + -12z = 16 + -8 Reorder the terms: 8 + -8 + 20w + -12z = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 20w + -12z = 16 + -8 20w + -12z = 16 + -8 Combine like terms: 16 + -8 = 8 20w + -12z = 8 Add '12z' to each side of the equation. 20w + -12z + 12z = 8 + 12z Combine like terms: -12z + 12z = 0 20w + 0 = 8 + 12z 20w = 8 + 12z Divide each side by '20'. w = 0.4 + 0.6z Simplifying w = 0.4 + 0.6z
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