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Simplifying -37 = 3w + 11 + -7w Reorder the terms: -37 = 11 + 3w + -7w Combine like terms: 3w + -7w = -4w -37 = 11 + -4w Solving -37 = 11 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -37 + 4w = 11 + -4w + 4w Combine like terms: -4w + 4w = 0 -37 + 4w = 11 + 0 -37 + 4w = 11 Add '37' to each side of the equation. -37 + 37 + 4w = 11 + 37 Combine like terms: -37 + 37 = 0 0 + 4w = 11 + 37 4w = 11 + 37 Combine like terms: 11 + 37 = 48 4w = 48 Divide each side by '4'. w = 12 Simplifying w = 12
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