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Simplifying 6w + 29 = -2w + -11 Reorder the terms: 29 + 6w = -2w + -11 Reorder the terms: 29 + 6w = -11 + -2w Solving 29 + 6w = -11 + -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. 29 + 6w + 2w = -11 + -2w + 2w Combine like terms: 6w + 2w = 8w 29 + 8w = -11 + -2w + 2w Combine like terms: -2w + 2w = 0 29 + 8w = -11 + 0 29 + 8w = -11 Add '-29' to each side of the equation. 29 + -29 + 8w = -11 + -29 Combine like terms: 29 + -29 = 0 0 + 8w = -11 + -29 8w = -11 + -29 Combine like terms: -11 + -29 = -40 8w = -40 Divide each side by '8'. w = -5 Simplifying w = -5
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