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Simplifying 9w + -5 = 12w + -2 Reorder the terms: -5 + 9w = 12w + -2 Reorder the terms: -5 + 9w = -2 + 12w Solving -5 + 9w = -2 + 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 = -2 + 12w + -12w Combine like terms: 9w + -12w = -3w -5 + -3w = -2 + 12w + -12w Combine like terms: 12w + -12w = 0 -5 + -3w = -2 + 0 -5 + -3w = -2 Add '5' to each side of the equation. -5 + 5 + -3w = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -3w = -2 + 5 -3w = -2 + 5 Combine like terms: -2 + 5 = 3 -3w = 3 Divide each side by '-3'. w = -1 Simplifying w = -1
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