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Simplifying 5w + -10 = 3w + 12 Reorder the terms: -10 + 5w = 3w + 12 Reorder the terms: -10 + 5w = 12 + 3w Solving -10 + 5w = 12 + 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. -10 + 5w + -3w = 12 + 3w + -3w Combine like terms: 5w + -3w = 2w -10 + 2w = 12 + 3w + -3w Combine like terms: 3w + -3w = 0 -10 + 2w = 12 + 0 -10 + 2w = 12 Add '10' to each side of the equation. -10 + 10 + 2w = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 2w = 12 + 10 2w = 12 + 10 Combine like terms: 12 + 10 = 22 2w = 22 Divide each side by '2'. w = 11 Simplifying w = 11
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