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Simplifying -11 + 5w + 7 = -4w + -37 + -2w Reorder the terms: -11 + 7 + 5w = -4w + -37 + -2w Combine like terms: -11 + 7 = -4 -4 + 5w = -4w + -37 + -2w Reorder the terms: -4 + 5w = -37 + -4w + -2w Combine like terms: -4w + -2w = -6w -4 + 5w = -37 + -6w Solving -4 + 5w = -37 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -4 + 5w + 6w = -37 + -6w + 6w Combine like terms: 5w + 6w = 11w -4 + 11w = -37 + -6w + 6w Combine like terms: -6w + 6w = 0 -4 + 11w = -37 + 0 -4 + 11w = -37 Add '4' to each side of the equation. -4 + 4 + 11w = -37 + 4 Combine like terms: -4 + 4 = 0 0 + 11w = -37 + 4 11w = -37 + 4 Combine like terms: -37 + 4 = -33 11w = -33 Divide each side by '11'. w = -3 Simplifying w = -3
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