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