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Simplifying -102 = 12w + 42 Reorder the terms: -102 = 42 + 12w Solving -102 = 42 + 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. -102 + -12w = 42 + 12w + -12w Combine like terms: 12w + -12w = 0 -102 + -12w = 42 + 0 -102 + -12w = 42 Add '102' to each side of the equation. -102 + 102 + -12w = 42 + 102 Combine like terms: -102 + 102 = 0 0 + -12w = 42 + 102 -12w = 42 + 102 Combine like terms: 42 + 102 = 144 -12w = 144 Divide each side by '-12'. w = -12 Simplifying w = -12
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