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Simplifying 8w + -5 = 35 + -12w Reorder the terms: -5 + 8w = 35 + -12w Solving -5 + 8w = 35 + -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. -5 + 8w + 12w = 35 + -12w + 12w Combine like terms: 8w + 12w = 20w -5 + 20w = 35 + -12w + 12w Combine like terms: -12w + 12w = 0 -5 + 20w = 35 + 0 -5 + 20w = 35 Add '5' to each side of the equation. -5 + 5 + 20w = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 20w = 35 + 5 20w = 35 + 5 Combine like terms: 35 + 5 = 40 20w = 40 Divide each side by '20'. w = 2 Simplifying w = 2
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