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Simplifying -7(w + -6) = -9w + 36 Reorder the terms: -7(-6 + w) = -9w + 36 (-6 * -7 + w * -7) = -9w + 36 (42 + -7w) = -9w + 36 Reorder the terms: 42 + -7w = 36 + -9w Solving 42 + -7w = 36 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 42 + -7w + 9w = 36 + -9w + 9w Combine like terms: -7w + 9w = 2w 42 + 2w = 36 + -9w + 9w Combine like terms: -9w + 9w = 0 42 + 2w = 36 + 0 42 + 2w = 36 Add '-42' to each side of the equation. 42 + -42 + 2w = 36 + -42 Combine like terms: 42 + -42 = 0 0 + 2w = 36 + -42 2w = 36 + -42 Combine like terms: 36 + -42 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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