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Simplifying -7w + -16 = 5w + 20 Reorder the terms: -16 + -7w = 5w + 20 Reorder the terms: -16 + -7w = 20 + 5w Solving -16 + -7w = 20 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -16 + -7w + -5w = 20 + 5w + -5w Combine like terms: -7w + -5w = -12w -16 + -12w = 20 + 5w + -5w Combine like terms: 5w + -5w = 0 -16 + -12w = 20 + 0 -16 + -12w = 20 Add '16' to each side of the equation. -16 + 16 + -12w = 20 + 16 Combine like terms: -16 + 16 = 0 0 + -12w = 20 + 16 -12w = 20 + 16 Combine like terms: 20 + 16 = 36 -12w = 36 Divide each side by '-12'. w = -3 Simplifying w = -3
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