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Simplifying [4w + -1] = 5w + 37 Reorder the terms: [-1 + 4w] = 5w + 37 Remove brackets around [-1 + 4w] -1 + 4w = 5w + 37 Reorder the terms: -1 + 4w = 37 + 5w Solving -1 + 4w = 37 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -1 + 4w + -5w = 37 + 5w + -5w Combine like terms: 4w + -5w = -1w -1 + -1w = 37 + 5w + -5w Combine like terms: 5w + -5w = 0 -1 + -1w = 37 + 0 -1 + -1w = 37 Add '1' to each side of the equation. -1 + 1 + -1w = 37 + 1 Combine like terms: -1 + 1 = 0 0 + -1w = 37 + 1 -1w = 37 + 1 Combine like terms: 37 + 1 = 38 -1w = 38 Divide each side by '-1'. w = -38 Simplifying w = -38
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