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Simplifying 9.2 + -4w = 2(3w + 5) Reorder the terms: 9.2 + -4w = 2(5 + 3w) 9.2 + -4w = (5 * 2 + 3w * 2) 9.2 + -4w = (10 + 6w) Solving 9.2 + -4w = 10 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 9.2 + -4w + -6w = 10 + 6w + -6w Combine like terms: -4w + -6w = -10w 9.2 + -10w = 10 + 6w + -6w Combine like terms: 6w + -6w = 0 9.2 + -10w = 10 + 0 9.2 + -10w = 10 Add '-9.2' to each side of the equation. 9.2 + -9.2 + -10w = 10 + -9.2 Combine like terms: 9.2 + -9.2 = 0.0 0.0 + -10w = 10 + -9.2 -10w = 10 + -9.2 Combine like terms: 10 + -9.2 = 0.8 -10w = 0.8 Divide each side by '-10'. w = -0.08 Simplifying w = -0.08
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