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Simplifying 9w + 5 = 12w + -4 Reorder the terms: 5 + 9w = 12w + -4 Reorder the terms: 5 + 9w = -4 + 12w Solving 5 + 9w = -4 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 5 + 9w + -12w = -4 + 12w + -12w Combine like terms: 9w + -12w = -3w 5 + -3w = -4 + 12w + -12w Combine like terms: 12w + -12w = 0 5 + -3w = -4 + 0 5 + -3w = -4 Add '-5' to each side of the equation. 5 + -5 + -3w = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -3w = -4 + -5 -3w = -4 + -5 Combine like terms: -4 + -5 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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