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Simplifying -8(w + -3) = 2w + -36 Reorder the terms: -8(-3 + w) = 2w + -36 (-3 * -8 + w * -8) = 2w + -36 (24 + -8w) = 2w + -36 Reorder the terms: 24 + -8w = -36 + 2w Solving 24 + -8w = -36 + 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. 24 + -8w + -2w = -36 + 2w + -2w Combine like terms: -8w + -2w = -10w 24 + -10w = -36 + 2w + -2w Combine like terms: 2w + -2w = 0 24 + -10w = -36 + 0 24 + -10w = -36 Add '-24' to each side of the equation. 24 + -24 + -10w = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -10w = -36 + -24 -10w = -36 + -24 Combine like terms: -36 + -24 = -60 -10w = -60 Divide each side by '-10'. w = 6 Simplifying w = 6
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