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Simplifying -4w + -7 = 2w + 17 Reorder the terms: -7 + -4w = 2w + 17 Reorder the terms: -7 + -4w = 17 + 2w Solving -7 + -4w = 17 + 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. -7 + -4w + -2w = 17 + 2w + -2w Combine like terms: -4w + -2w = -6w -7 + -6w = 17 + 2w + -2w Combine like terms: 2w + -2w = 0 -7 + -6w = 17 + 0 -7 + -6w = 17 Add '7' to each side of the equation. -7 + 7 + -6w = 17 + 7 Combine like terms: -7 + 7 = 0 0 + -6w = 17 + 7 -6w = 17 + 7 Combine like terms: 17 + 7 = 24 -6w = 24 Divide each side by '-6'. w = -4 Simplifying w = -4
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