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Simplifying -8(w + -3) = 4w + -36 Reorder the terms: -8(-3 + w) = 4w + -36 (-3 * -8 + w * -8) = 4w + -36 (24 + -8w) = 4w + -36 Reorder the terms: 24 + -8w = -36 + 4w Solving 24 + -8w = -36 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 24 + -8w + -4w = -36 + 4w + -4w Combine like terms: -8w + -4w = -12w 24 + -12w = -36 + 4w + -4w Combine like terms: 4w + -4w = 0 24 + -12w = -36 + 0 24 + -12w = -36 Add '-24' to each side of the equation. 24 + -24 + -12w = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -12w = -36 + -24 -12w = -36 + -24 Combine like terms: -36 + -24 = -60 -12w = -60 Divide each side by '-12'. w = 5 Simplifying w = 5
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