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Simplifying -4(7w + 2) = 32 Reorder the terms: -4(2 + 7w) = 32 (2 * -4 + 7w * -4) = 32 (-8 + -28w) = 32 Solving -8 + -28w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -28w = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -28w = 32 + 8 -28w = 32 + 8 Combine like terms: 32 + 8 = 40 -28w = 40 Divide each side by '-28'. w = -1.428571429 Simplifying w = -1.428571429
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