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Simplifying -9 + -6w = -10w + 9 + 10 Reorder the terms: -9 + -6w = 9 + 10 + -10w Combine like terms: 9 + 10 = 19 -9 + -6w = 19 + -10w Solving -9 + -6w = 19 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. -9 + -6w + 10w = 19 + -10w + 10w Combine like terms: -6w + 10w = 4w -9 + 4w = 19 + -10w + 10w Combine like terms: -10w + 10w = 0 -9 + 4w = 19 + 0 -9 + 4w = 19 Add '9' to each side of the equation. -9 + 9 + 4w = 19 + 9 Combine like terms: -9 + 9 = 0 0 + 4w = 19 + 9 4w = 19 + 9 Combine like terms: 19 + 9 = 28 4w = 28 Divide each side by '4'. w = 7 Simplifying w = 7
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