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Simplifying -5(w + 4) + 7 = -43 Reorder the terms: -5(4 + w) + 7 = -43 (4 * -5 + w * -5) + 7 = -43 (-20 + -5w) + 7 = -43 Reorder the terms: -20 + 7 + -5w = -43 Combine like terms: -20 + 7 = -13 -13 + -5w = -43 Solving -13 + -5w = -43 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -5w = -43 + 13 Combine like terms: -13 + 13 = 0 0 + -5w = -43 + 13 -5w = -43 + 13 Combine like terms: -43 + 13 = -30 -5w = -30 Divide each side by '-5'. w = 6 Simplifying w = 6
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