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