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Simplifying -20 + 12w = 20 + 20w + 16 Reorder the terms: -20 + 12w = 20 + 16 + 20w Combine like terms: 20 + 16 = 36 -20 + 12w = 36 + 20w Solving -20 + 12w = 36 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. -20 + 12w + -20w = 36 + 20w + -20w Combine like terms: 12w + -20w = -8w -20 + -8w = 36 + 20w + -20w Combine like terms: 20w + -20w = 0 -20 + -8w = 36 + 0 -20 + -8w = 36 Add '20' to each side of the equation. -20 + 20 + -8w = 36 + 20 Combine like terms: -20 + 20 = 0 0 + -8w = 36 + 20 -8w = 36 + 20 Combine like terms: 36 + 20 = 56 -8w = 56 Divide each side by '-8'. w = -7 Simplifying w = -7
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