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Simplifying 7(42 + -3w) = 32 (42 * 7 + -3w * 7) = 32 (294 + -21w) = 32 Solving 294 + -21w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-294' to each side of the equation. 294 + -294 + -21w = 32 + -294 Combine like terms: 294 + -294 = 0 0 + -21w = 32 + -294 -21w = 32 + -294 Combine like terms: 32 + -294 = -262 -21w = -262 Divide each side by '-21'. w = 12.47619048 Simplifying w = 12.47619048
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