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Simplifying -7w + 10 = -9w + -4 Reorder the terms: 10 + -7w = -9w + -4 Reorder the terms: 10 + -7w = -4 + -9w Solving 10 + -7w = -4 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 10 + -7w + 9w = -4 + -9w + 9w Combine like terms: -7w + 9w = 2w 10 + 2w = -4 + -9w + 9w Combine like terms: -9w + 9w = 0 10 + 2w = -4 + 0 10 + 2w = -4 Add '-10' to each side of the equation. 10 + -10 + 2w = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 2w = -4 + -10 2w = -4 + -10 Combine like terms: -4 + -10 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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