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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 = 2w 9.2 + 2w = -10 + -6w + 6w Combine like terms: -6w + 6w = 0 9.2 + 2w = -10 + 0 9.2 + 2w = -10 Add '-9.2' to each side of the equation. 9.2 + -9.2 + 2w = -10 + -9.2 Combine like terms: 9.2 + -9.2 = 0.0 0.0 + 2w = -10 + -9.2 2w = -10 + -9.2 Combine like terms: -10 + -9.2 = -19.2 2w = -19.2 Divide each side by '2'. w = -9.6 Simplifying w = -9.6
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