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Simplifying 2w + 20 = 8w + 30 Reorder the terms: 20 + 2w = 8w + 30 Reorder the terms: 20 + 2w = 30 + 8w Solving 20 + 2w = 30 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 20 + 2w + -8w = 30 + 8w + -8w Combine like terms: 2w + -8w = -6w 20 + -6w = 30 + 8w + -8w Combine like terms: 8w + -8w = 0 20 + -6w = 30 + 0 20 + -6w = 30 Add '-20' to each side of the equation. 20 + -20 + -6w = 30 + -20 Combine like terms: 20 + -20 = 0 0 + -6w = 30 + -20 -6w = 30 + -20 Combine like terms: 30 + -20 = 10 -6w = 10 Divide each side by '-6'. w = -1.666666667 Simplifying w = -1.666666667
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