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Simplifying 13.4w + 12 = 5w + -4 Reorder the terms: 12 + 13.4w = 5w + -4 Reorder the terms: 12 + 13.4w = -4 + 5w Solving 12 + 13.4w = -4 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 12 + 13.4w + -5w = -4 + 5w + -5w Combine like terms: 13.4w + -5w = 8.4w 12 + 8.4w = -4 + 5w + -5w Combine like terms: 5w + -5w = 0 12 + 8.4w = -4 + 0 12 + 8.4w = -4 Add '-12' to each side of the equation. 12 + -12 + 8.4w = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 8.4w = -4 + -12 8.4w = -4 + -12 Combine like terms: -4 + -12 = -16 8.4w = -16 Divide each side by '8.4'. w = -1.904761905 Simplifying w = -1.904761905
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