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Simplifying 12w + -12 + -8 = 3w + -5 Reorder the terms: -12 + -8 + 12w = 3w + -5 Combine like terms: -12 + -8 = -20 -20 + 12w = 3w + -5 Reorder the terms: -20 + 12w = -5 + 3w Solving -20 + 12w = -5 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -20 + 12w + -3w = -5 + 3w + -3w Combine like terms: 12w + -3w = 9w -20 + 9w = -5 + 3w + -3w Combine like terms: 3w + -3w = 0 -20 + 9w = -5 + 0 -20 + 9w = -5 Add '20' to each side of the equation. -20 + 20 + 9w = -5 + 20 Combine like terms: -20 + 20 = 0 0 + 9w = -5 + 20 9w = -5 + 20 Combine like terms: -5 + 20 = 15 9w = 15 Divide each side by '9'. w = 1.666666667 Simplifying w = 1.666666667
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