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Simplifying -7w + -6 = -10 + -9w + -3w Reorder the terms: -6 + -7w = -10 + -9w + -3w Combine like terms: -9w + -3w = -12w -6 + -7w = -10 + -12w Solving -6 + -7w = -10 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. -6 + -7w + 12w = -10 + -12w + 12w Combine like terms: -7w + 12w = 5w -6 + 5w = -10 + -12w + 12w Combine like terms: -12w + 12w = 0 -6 + 5w = -10 + 0 -6 + 5w = -10 Add '6' to each side of the equation. -6 + 6 + 5w = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 5w = -10 + 6 5w = -10 + 6 Combine like terms: -10 + 6 = -4 5w = -4 Divide each side by '5'. w = -0.8 Simplifying w = -0.8
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