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Simplifying 8w + -2 = 6w + 36 Reorder the terms: -2 + 8w = 6w + 36 Reorder the terms: -2 + 8w = 36 + 6w Solving -2 + 8w = 36 + 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. -2 + 8w + -6w = 36 + 6w + -6w Combine like terms: 8w + -6w = 2w -2 + 2w = 36 + 6w + -6w Combine like terms: 6w + -6w = 0 -2 + 2w = 36 + 0 -2 + 2w = 36 Add '2' to each side of the equation. -2 + 2 + 2w = 36 + 2 Combine like terms: -2 + 2 = 0 0 + 2w = 36 + 2 2w = 36 + 2 Combine like terms: 36 + 2 = 38 2w = 38 Divide each side by '2'. w = 19 Simplifying w = 19
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