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Simplifying 8(w + 4) + -3w = -13 Reorder the terms: 8(4 + w) + -3w = -13 (4 * 8 + w * 8) + -3w = -13 (32 + 8w) + -3w = -13 Combine like terms: 8w + -3w = 5w 32 + 5w = -13 Solving 32 + 5w = -13 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 5w = -13 + -32 Combine like terms: 32 + -32 = 0 0 + 5w = -13 + -32 5w = -13 + -32 Combine like terms: -13 + -32 = -45 5w = -45 Divide each side by '5'. w = -9 Simplifying w = -9
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