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Simplifying -10 + -3w + 7 = 9w + 3 + -6w Reorder the terms: -10 + 7 + -3w = 9w + 3 + -6w Combine like terms: -10 + 7 = -3 -3 + -3w = 9w + 3 + -6w Reorder the terms: -3 + -3w = 3 + 9w + -6w Combine like terms: 9w + -6w = 3w -3 + -3w = 3 + 3w Solving -3 + -3w = 3 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -3 + -3w + -3w = 3 + 3w + -3w Combine like terms: -3w + -3w = -6w -3 + -6w = 3 + 3w + -3w Combine like terms: 3w + -3w = 0 -3 + -6w = 3 + 0 -3 + -6w = 3 Add '3' to each side of the equation. -3 + 3 + -6w = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -6w = 3 + 3 -6w = 3 + 3 Combine like terms: 3 + 3 = 6 -6w = 6 Divide each side by '-6'. w = -1 Simplifying w = -1
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