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Simplifying 3w + -7.9 = -4.75 + -6w Reorder the terms: -7.9 + 3w = -4.75 + -6w Solving -7.9 + 3w = -4.75 + -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. -7.9 + 3w + 6w = -4.75 + -6w + 6w Combine like terms: 3w + 6w = 9w -7.9 + 9w = -4.75 + -6w + 6w Combine like terms: -6w + 6w = 0 -7.9 + 9w = -4.75 + 0 -7.9 + 9w = -4.75 Add '7.9' to each side of the equation. -7.9 + 7.9 + 9w = -4.75 + 7.9 Combine like terms: -7.9 + 7.9 = 0.0 0.0 + 9w = -4.75 + 7.9 9w = -4.75 + 7.9 Combine like terms: -4.75 + 7.9 = 3.15 9w = 3.15 Divide each side by '9'. w = 0.35 Simplifying w = 0.35
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