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Simplifying -53 = 8w + 4w + -17 Reorder the terms: -53 = -17 + 8w + 4w Combine like terms: 8w + 4w = 12w -53 = -17 + 12w Solving -53 = -17 + 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. -53 + -12w = -17 + 12w + -12w Combine like terms: 12w + -12w = 0 -53 + -12w = -17 + 0 -53 + -12w = -17 Add '53' to each side of the equation. -53 + 53 + -12w = -17 + 53 Combine like terms: -53 + 53 = 0 0 + -12w = -17 + 53 -12w = -17 + 53 Combine like terms: -17 + 53 = 36 -12w = 36 Divide each side by '-12'. w = -3 Simplifying w = -3
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