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Simplifying -3w + 13 = -8(w + 4) Reorder the terms: 13 + -3w = -8(w + 4) Reorder the terms: 13 + -3w = -8(4 + w) 13 + -3w = (4 * -8 + w * -8) 13 + -3w = (-32 + -8w) Solving 13 + -3w = -32 + -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 + -3w + 8w = -32 + -8w + 8w Combine like terms: -3w + 8w = 5w 13 + 5w = -32 + -8w + 8w Combine like terms: -8w + 8w = 0 13 + 5w = -32 + 0 13 + 5w = -32 Add '-13' to each side of the equation. 13 + -13 + 5w = -32 + -13 Combine like terms: 13 + -13 = 0 0 + 5w = -32 + -13 5w = -32 + -13 Combine like terms: -32 + -13 = -45 5w = -45 Divide each side by '5'. w = -9 Simplifying w = -9
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