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Simplifying -4 = 7(w + -4) + 5w Reorder the terms: -4 = 7(-4 + w) + 5w -4 = (-4 * 7 + w * 7) + 5w -4 = (-28 + 7w) + 5w Combine like terms: 7w + 5w = 12w -4 = -28 + 12w Solving -4 = -28 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -4 + -12w = -28 + 12w + -12w Combine like terms: 12w + -12w = 0 -4 + -12w = -28 + 0 -4 + -12w = -28 Add '4' to each side of the equation. -4 + 4 + -12w = -28 + 4 Combine like terms: -4 + 4 = 0 0 + -12w = -28 + 4 -12w = -28 + 4 Combine like terms: -28 + 4 = -24 -12w = -24 Divide each side by '-12'. w = 2 Simplifying w = 2
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