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Simplifying -13 + 4w + 3 = 5w + 2 Reorder the terms: -13 + 3 + 4w = 5w + 2 Combine like terms: -13 + 3 = -10 -10 + 4w = 5w + 2 Reorder the terms: -10 + 4w = 2 + 5w Solving -10 + 4w = 2 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -10 + 4w + -5w = 2 + 5w + -5w Combine like terms: 4w + -5w = -1w -10 + -1w = 2 + 5w + -5w Combine like terms: 5w + -5w = 0 -10 + -1w = 2 + 0 -10 + -1w = 2 Add '10' to each side of the equation. -10 + 10 + -1w = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -1w = 2 + 10 -1w = 2 + 10 Combine like terms: 2 + 10 = 12 -1w = 12 Divide each side by '-1'. w = -12 Simplifying w = -12
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