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Simplifying 8w + -13 = 4w + -5 Reorder the terms: -13 + 8w = 4w + -5 Reorder the terms: -13 + 8w = -5 + 4w Solving -13 + 8w = -5 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -13 + 8w + -4w = -5 + 4w + -4w Combine like terms: 8w + -4w = 4w -13 + 4w = -5 + 4w + -4w Combine like terms: 4w + -4w = 0 -13 + 4w = -5 + 0 -13 + 4w = -5 Add '13' to each side of the equation. -13 + 13 + 4w = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 4w = -5 + 13 4w = -5 + 13 Combine like terms: -5 + 13 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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