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Simplifying -8(w + -5) = 2w + -40 Reorder the terms: -8(-5 + w) = 2w + -40 (-5 * -8 + w * -8) = 2w + -40 (40 + -8w) = 2w + -40 Reorder the terms: 40 + -8w = -40 + 2w Solving 40 + -8w = -40 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 40 + -8w + -2w = -40 + 2w + -2w Combine like terms: -8w + -2w = -10w 40 + -10w = -40 + 2w + -2w Combine like terms: 2w + -2w = 0 40 + -10w = -40 + 0 40 + -10w = -40 Add '-40' to each side of the equation. 40 + -40 + -10w = -40 + -40 Combine like terms: 40 + -40 = 0 0 + -10w = -40 + -40 -10w = -40 + -40 Combine like terms: -40 + -40 = -80 -10w = -80 Divide each side by '-10'. w = 8 Simplifying w = 8
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