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Simplifying 5w + 8 + -12 = 16 + -15w Reorder the terms: 8 + -12 + 5w = 16 + -15w Combine like terms: 8 + -12 = -4 -4 + 5w = 16 + -15w Solving -4 + 5w = 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. -4 + 5w + 15w = 16 + -15w + 15w Combine like terms: 5w + 15w = 20w -4 + 20w = 16 + -15w + 15w Combine like terms: -15w + 15w = 0 -4 + 20w = 16 + 0 -4 + 20w = 16 Add '4' to each side of the equation. -4 + 4 + 20w = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 20w = 16 + 4 20w = 16 + 4 Combine like terms: 16 + 4 = 20 20w = 20 Divide each side by '20'. w = 1 Simplifying w = 1
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