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Simplifying 8w + 13 = 3w + -22 Reorder the terms: 13 + 8w = 3w + -22 Reorder the terms: 13 + 8w = -22 + 3w Solving 13 + 8w = -22 + 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. 13 + 8w + -3w = -22 + 3w + -3w Combine like terms: 8w + -3w = 5w 13 + 5w = -22 + 3w + -3w Combine like terms: 3w + -3w = 0 13 + 5w = -22 + 0 13 + 5w = -22 Add '-13' to each side of the equation. 13 + -13 + 5w = -22 + -13 Combine like terms: 13 + -13 = 0 0 + 5w = -22 + -13 5w = -22 + -13 Combine like terms: -22 + -13 = -35 5w = -35 Divide each side by '5'. w = -7 Simplifying w = -7
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