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Simplifying -8 = -7w + 4(w + -5) Reorder the terms: -8 = -7w + 4(-5 + w) -8 = -7w + (-5 * 4 + w * 4) -8 = -7w + (-20 + 4w) Reorder the terms: -8 = -20 + -7w + 4w Combine like terms: -7w + 4w = -3w -8 = -20 + -3w Solving -8 = -20 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -8 + 3w = -20 + -3w + 3w Combine like terms: -3w + 3w = 0 -8 + 3w = -20 + 0 -8 + 3w = -20 Add '8' to each side of the equation. -8 + 8 + 3w = -20 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = -20 + 8 3w = -20 + 8 Combine like terms: -20 + 8 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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