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Simplifying 4w + -13 = 2w + 9 Reorder the terms: -13 + 4w = 2w + 9 Reorder the terms: -13 + 4w = 9 + 2w Solving -13 + 4w = 9 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -13 + 4w + -2w = 9 + 2w + -2w Combine like terms: 4w + -2w = 2w -13 + 2w = 9 + 2w + -2w Combine like terms: 2w + -2w = 0 -13 + 2w = 9 + 0 -13 + 2w = 9 Add '13' to each side of the equation. -13 + 13 + 2w = 9 + 13 Combine like terms: -13 + 13 = 0 0 + 2w = 9 + 13 2w = 9 + 13 Combine like terms: 9 + 13 = 22 2w = 22 Divide each side by '2'. w = 11 Simplifying w = 11
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