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Simplifying 4w + 13 = 8w + 9 Reorder the terms: 13 + 4w = 8w + 9 Reorder the terms: 13 + 4w = 9 + 8w Solving 13 + 4w = 9 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 13 + 4w + -8w = 9 + 8w + -8w Combine like terms: 4w + -8w = -4w 13 + -4w = 9 + 8w + -8w Combine like terms: 8w + -8w = 0 13 + -4w = 9 + 0 13 + -4w = 9 Add '-13' to each side of the equation. 13 + -13 + -4w = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -4w = 9 + -13 -4w = 9 + -13 Combine like terms: 9 + -13 = -4 -4w = -4 Divide each side by '-4'. w = 1 Simplifying w = 1
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