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Simplifying -9w + 49 = -2(w + -7) Reorder the terms: 49 + -9w = -2(w + -7) Reorder the terms: 49 + -9w = -2(-7 + w) 49 + -9w = (-7 * -2 + w * -2) 49 + -9w = (14 + -2w) Solving 49 + -9w = 14 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 49 + -9w + 2w = 14 + -2w + 2w Combine like terms: -9w + 2w = -7w 49 + -7w = 14 + -2w + 2w Combine like terms: -2w + 2w = 0 49 + -7w = 14 + 0 49 + -7w = 14 Add '-49' to each side of the equation. 49 + -49 + -7w = 14 + -49 Combine like terms: 49 + -49 = 0 0 + -7w = 14 + -49 -7w = 14 + -49 Combine like terms: 14 + -49 = -35 -7w = -35 Divide each side by '-7'. w = 5 Simplifying w = 5
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