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Simplifying -5(2w + 1) = 26 Reorder the terms: -5(1 + 2w) = 26 (1 * -5 + 2w * -5) = 26 (-5 + -10w) = 26 Solving -5 + -10w = 26 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -10w = 26 + 5 Combine like terms: -5 + 5 = 0 0 + -10w = 26 + 5 -10w = 26 + 5 Combine like terms: 26 + 5 = 31 -10w = 31 Divide each side by '-10'. w = -3.1 Simplifying w = -3.1
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