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Simplifying 4w + -5 = 12w + -9 Reorder the terms: -5 + 4w = 12w + -9 Reorder the terms: -5 + 4w = -9 + 12w Solving -5 + 4w = -9 + 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 + 4w + -12w = -9 + 12w + -12w Combine like terms: 4w + -12w = -8w -5 + -8w = -9 + 12w + -12w Combine like terms: 12w + -12w = 0 -5 + -8w = -9 + 0 -5 + -8w = -9 Add '5' to each side of the equation. -5 + 5 + -8w = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -8w = -9 + 5 -8w = -9 + 5 Combine like terms: -9 + 5 = -4 -8w = -4 Divide each side by '-8'. w = 0.5 Simplifying w = 0.5
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