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Simplifying 5w + -20 = 3w + -6 Reorder the terms: -20 + 5w = 3w + -6 Reorder the terms: -20 + 5w = -6 + 3w Solving -20 + 5w = -6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -20 + 5w + -3w = -6 + 3w + -3w Combine like terms: 5w + -3w = 2w -20 + 2w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 -20 + 2w = -6 + 0 -20 + 2w = -6 Add '20' to each side of the equation. -20 + 20 + 2w = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 2w = -6 + 20 2w = -6 + 20 Combine like terms: -6 + 20 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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