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Simplifying -3w + 8(w + -4) = -37 Reorder the terms: -3w + 8(-4 + w) = -37 -3w + (-4 * 8 + w * 8) = -37 -3w + (-32 + 8w) = -37 Reorder the terms: -32 + -3w + 8w = -37 Combine like terms: -3w + 8w = 5w -32 + 5w = -37 Solving -32 + 5w = -37 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 = -37 + 32 Combine like terms: -32 + 32 = 0 0 + 5w = -37 + 32 5w = -37 + 32 Combine like terms: -37 + 32 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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