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Simplifying 7 = 4(w + -5) + -7w Reorder the terms: 7 = 4(-5 + w) + -7w 7 = (-5 * 4 + w * 4) + -7w 7 = (-20 + 4w) + -7w Combine like terms: 4w + -7w = -3w 7 = -20 + -3w Solving 7 = -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. 7 + 3w = -20 + -3w + 3w Combine like terms: -3w + 3w = 0 7 + 3w = -20 + 0 7 + 3w = -20 Add '-7' to each side of the equation. 7 + -7 + 3w = -20 + -7 Combine like terms: 7 + -7 = 0 0 + 3w = -20 + -7 3w = -20 + -7 Combine like terms: -20 + -7 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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