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Simplifying -3w + 8(w + -4) = -2 Reorder the terms: -3w + 8(-4 + w) = -2 -3w + (-4 * 8 + w * 8) = -2 -3w + (-32 + 8w) = -2 Reorder the terms: -32 + -3w + 8w = -2 Combine like terms: -3w + 8w = 5w -32 + 5w = -2 Solving -32 + 5w = -2 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 = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 5w = -2 + 32 5w = -2 + 32 Combine like terms: -2 + 32 = 30 5w = 30 Divide each side by '5'. w = 6 Simplifying w = 6
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