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Simplifying -36 = -8 + 4(w + -5) Reorder the terms: -36 = -8 + 4(-5 + w) -36 = -8 + (-5 * 4 + w * 4) -36 = -8 + (-20 + 4w) Combine like terms: -8 + -20 = -28 -36 = -28 + 4w Solving -36 = -28 + 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 = -28 + 4w + -4w Combine like terms: 4w + -4w = 0 -36 + -4w = -28 + 0 -36 + -4w = -28 Add '36' to each side of the equation. -36 + 36 + -4w = -28 + 36 Combine like terms: -36 + 36 = 0 0 + -4w = -28 + 36 -4w = -28 + 36 Combine like terms: -28 + 36 = 8 -4w = 8 Divide each side by '-4'. w = -2 Simplifying w = -2
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