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Simplifying w + 29 = 7w + -97 Reorder the terms: 29 + w = 7w + -97 Reorder the terms: 29 + w = -97 + 7w Solving 29 + w = -97 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 29 + w + -7w = -97 + 7w + -7w Combine like terms: w + -7w = -6w 29 + -6w = -97 + 7w + -7w Combine like terms: 7w + -7w = 0 29 + -6w = -97 + 0 29 + -6w = -97 Add '-29' to each side of the equation. 29 + -29 + -6w = -97 + -29 Combine like terms: 29 + -29 = 0 0 + -6w = -97 + -29 -6w = -97 + -29 Combine like terms: -97 + -29 = -126 -6w = -126 Divide each side by '-6'. w = 21 Simplifying w = 21
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