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Simplifying -7(w + -6) = 32 Reorder the terms: -7(-6 + w) = 32 (-6 * -7 + w * -7) = 32 (42 + -7w) = 32 Solving 42 + -7w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -7w = 32 + -42 Combine like terms: 42 + -42 = 0 0 + -7w = 32 + -42 -7w = 32 + -42 Combine like terms: 32 + -42 = -10 -7w = -10 Divide each side by '-7'. w = 1.428571429 Simplifying w = 1.428571429
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