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Simplifying 8w + -16 = 6w + 30 Reorder the terms: -16 + 8w = 6w + 30 Reorder the terms: -16 + 8w = 30 + 6w Solving -16 + 8w = 30 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -16 + 8w + -6w = 30 + 6w + -6w Combine like terms: 8w + -6w = 2w -16 + 2w = 30 + 6w + -6w Combine like terms: 6w + -6w = 0 -16 + 2w = 30 + 0 -16 + 2w = 30 Add '16' to each side of the equation. -16 + 16 + 2w = 30 + 16 Combine like terms: -16 + 16 = 0 0 + 2w = 30 + 16 2w = 30 + 16 Combine like terms: 30 + 16 = 46 2w = 46 Divide each side by '2'. w = 23 Simplifying w = 23
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