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Simplifying 2w + 1 = 10w + -30 Reorder the terms: 1 + 2w = 10w + -30 Reorder the terms: 1 + 2w = -30 + 10w Solving 1 + 2w = -30 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 1 + 2w + -10w = -30 + 10w + -10w Combine like terms: 2w + -10w = -8w 1 + -8w = -30 + 10w + -10w Combine like terms: 10w + -10w = 0 1 + -8w = -30 + 0 1 + -8w = -30 Add '-1' to each side of the equation. 1 + -1 + -8w = -30 + -1 Combine like terms: 1 + -1 = 0 0 + -8w = -30 + -1 -8w = -30 + -1 Combine like terms: -30 + -1 = -31 -8w = -31 Divide each side by '-8'. w = 3.875 Simplifying w = 3.875
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