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Simplifying -31 = 4w + 1 Reorder the terms: -31 = 1 + 4w Solving -31 = 1 + 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. -31 + -4w = 1 + 4w + -4w Combine like terms: 4w + -4w = 0 -31 + -4w = 1 + 0 -31 + -4w = 1 Add '31' to each side of the equation. -31 + 31 + -4w = 1 + 31 Combine like terms: -31 + 31 = 0 0 + -4w = 1 + 31 -4w = 1 + 31 Combine like terms: 1 + 31 = 32 -4w = 32 Divide each side by '-4'. w = -8 Simplifying w = -8
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