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Simplifying -7(w + -4) = -9w + 34 Reorder the terms: -7(-4 + w) = -9w + 34 (-4 * -7 + w * -7) = -9w + 34 (28 + -7w) = -9w + 34 Reorder the terms: 28 + -7w = 34 + -9w Solving 28 + -7w = 34 + -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. 28 + -7w + 9w = 34 + -9w + 9w Combine like terms: -7w + 9w = 2w 28 + 2w = 34 + -9w + 9w Combine like terms: -9w + 9w = 0 28 + 2w = 34 + 0 28 + 2w = 34 Add '-28' to each side of the equation. 28 + -28 + 2w = 34 + -28 Combine like terms: 28 + -28 = 0 0 + 2w = 34 + -28 2w = 34 + -28 Combine like terms: 34 + -28 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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