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Simplifying -36 = -4w + 8(w + -3) Reorder the terms: -36 = -4w + 8(-3 + w) -36 = -4w + (-3 * 8 + w * 8) -36 = -4w + (-24 + 8w) Reorder the terms: -36 = -24 + -4w + 8w Combine like terms: -4w + 8w = 4w -36 = -24 + 4w Solving -36 = -24 + 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. -36 + -4w = -24 + 4w + -4w Combine like terms: 4w + -4w = 0 -36 + -4w = -24 + 0 -36 + -4w = -24 Add '36' to each side of the equation. -36 + 36 + -4w = -24 + 36 Combine like terms: -36 + 36 = 0 0 + -4w = -24 + 36 -4w = -24 + 36 Combine like terms: -24 + 36 = 12 -4w = 12 Divide each side by '-4'. w = -3 Simplifying w = -3
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