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Simplifying 4w + 1 = 3w + -4 Reorder the terms: 1 + 4w = 3w + -4 Reorder the terms: 1 + 4w = -4 + 3w Solving 1 + 4w = -4 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 1 + 4w + -3w = -4 + 3w + -3w Combine like terms: 4w + -3w = 1w 1 + 1w = -4 + 3w + -3w Combine like terms: 3w + -3w = 0 1 + 1w = -4 + 0 1 + 1w = -4 Add '-1' to each side of the equation. 1 + -1 + 1w = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 1w = -4 + -1 1w = -4 + -1 Combine like terms: -4 + -1 = -5 1w = -5 Divide each side by '1'. w = -5 Simplifying w = -5
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