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Simplifying -5w + -17 = 2w + 4 Reorder the terms: -17 + -5w = 2w + 4 Reorder the terms: -17 + -5w = 4 + 2w Solving -17 + -5w = 4 + 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. -17 + -5w + -2w = 4 + 2w + -2w Combine like terms: -5w + -2w = -7w -17 + -7w = 4 + 2w + -2w Combine like terms: 2w + -2w = 0 -17 + -7w = 4 + 0 -17 + -7w = 4 Add '17' to each side of the equation. -17 + 17 + -7w = 4 + 17 Combine like terms: -17 + 17 = 0 0 + -7w = 4 + 17 -7w = 4 + 17 Combine like terms: 4 + 17 = 21 -7w = 21 Divide each side by '-7'. w = -3 Simplifying w = -3
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