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Simplifying 5w + 16 + -2w + -30 = -12 Reorder the terms: 16 + -30 + 5w + -2w = -12 Combine like terms: 16 + -30 = -14 -14 + 5w + -2w = -12 Combine like terms: 5w + -2w = 3w -14 + 3w = -12 Solving -14 + 3w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3w = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 3w = -12 + 14 3w = -12 + 14 Combine like terms: -12 + 14 = 2 3w = 2 Divide each side by '3'. w = 0.6666666667 Simplifying w = 0.6666666667
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