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Simplifying 5w + 20 = -7w + -16 Reorder the terms: 20 + 5w = -7w + -16 Reorder the terms: 20 + 5w = -16 + -7w Solving 20 + 5w = -16 + -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. 20 + 5w + 7w = -16 + -7w + 7w Combine like terms: 5w + 7w = 12w 20 + 12w = -16 + -7w + 7w Combine like terms: -7w + 7w = 0 20 + 12w = -16 + 0 20 + 12w = -16 Add '-20' to each side of the equation. 20 + -20 + 12w = -16 + -20 Combine like terms: 20 + -20 = 0 0 + 12w = -16 + -20 12w = -16 + -20 Combine like terms: -16 + -20 = -36 12w = -36 Divide each side by '12'. w = -3 Simplifying w = -3
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