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Simplifying 2(w + 5) = 5(2w + -1) Reorder the terms: 2(5 + w) = 5(2w + -1) (5 * 2 + w * 2) = 5(2w + -1) (10 + 2w) = 5(2w + -1) Reorder the terms: 10 + 2w = 5(-1 + 2w) 10 + 2w = (-1 * 5 + 2w * 5) 10 + 2w = (-5 + 10w) Solving 10 + 2w = -5 + 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. 10 + 2w + -10w = -5 + 10w + -10w Combine like terms: 2w + -10w = -8w 10 + -8w = -5 + 10w + -10w Combine like terms: 10w + -10w = 0 10 + -8w = -5 + 0 10 + -8w = -5 Add '-10' to each side of the equation. 10 + -10 + -8w = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -8w = -5 + -10 -8w = -5 + -10 Combine like terms: -5 + -10 = -15 -8w = -15 Divide each side by '-8'. w = 1.875 Simplifying w = 1.875
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