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Simplifying 12w + -5 = 3w + 4 Reorder the terms: -5 + 12w = 3w + 4 Reorder the terms: -5 + 12w = 4 + 3w Solving -5 + 12w = 4 + 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. -5 + 12w + -3w = 4 + 3w + -3w Combine like terms: 12w + -3w = 9w -5 + 9w = 4 + 3w + -3w Combine like terms: 3w + -3w = 0 -5 + 9w = 4 + 0 -5 + 9w = 4 Add '5' to each side of the equation. -5 + 5 + 9w = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 9w = 4 + 5 9w = 4 + 5 Combine like terms: 4 + 5 = 9 9w = 9 Divide each side by '9'. w = 1 Simplifying w = 1
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