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Simplifying 12 + -5w = -4w + -3 Reorder the terms: 12 + -5w = -3 + -4w Solving 12 + -5w = -3 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 12 + -5w + 4w = -3 + -4w + 4w Combine like terms: -5w + 4w = -1w 12 + -1w = -3 + -4w + 4w Combine like terms: -4w + 4w = 0 12 + -1w = -3 + 0 12 + -1w = -3 Add '-12' to each side of the equation. 12 + -12 + -1w = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = -3 + -12 -1w = -3 + -12 Combine like terms: -3 + -12 = -15 -1w = -15 Divide each side by '-1'. w = 15 Simplifying w = 15
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