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Simplifying -52 = 3w + -15w + -16 Reorder the terms: -52 = -16 + 3w + -15w Combine like terms: 3w + -15w = -12w -52 = -16 + -12w Solving -52 = -16 + -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. -52 + 12w = -16 + -12w + 12w Combine like terms: -12w + 12w = 0 -52 + 12w = -16 + 0 -52 + 12w = -16 Add '52' to each side of the equation. -52 + 52 + 12w = -16 + 52 Combine like terms: -52 + 52 = 0 0 + 12w = -16 + 52 12w = -16 + 52 Combine like terms: -16 + 52 = 36 12w = 36 Divide each side by '12'. w = 3 Simplifying w = 3
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