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Simplifying 7w + 13 = -2w + 184 Reorder the terms: 13 + 7w = -2w + 184 Reorder the terms: 13 + 7w = 184 + -2w Solving 13 + 7w = 184 + -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. 13 + 7w + 2w = 184 + -2w + 2w Combine like terms: 7w + 2w = 9w 13 + 9w = 184 + -2w + 2w Combine like terms: -2w + 2w = 0 13 + 9w = 184 + 0 13 + 9w = 184 Add '-13' to each side of the equation. 13 + -13 + 9w = 184 + -13 Combine like terms: 13 + -13 = 0 0 + 9w = 184 + -13 9w = 184 + -13 Combine like terms: 184 + -13 = 171 9w = 171 Divide each side by '9'. w = 19 Simplifying w = 19
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