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Simplifying 4w + -7 = 3w + 1 Reorder the terms: -7 + 4w = 3w + 1 Reorder the terms: -7 + 4w = 1 + 3w Solving -7 + 4w = 1 + 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. -7 + 4w + -3w = 1 + 3w + -3w Combine like terms: 4w + -3w = 1w -7 + 1w = 1 + 3w + -3w Combine like terms: 3w + -3w = 0 -7 + 1w = 1 + 0 -7 + 1w = 1 Add '7' to each side of the equation. -7 + 7 + 1w = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 1w = 1 + 7 1w = 1 + 7 Combine like terms: 1 + 7 = 8 1w = 8 Divide each side by '1'. w = 8 Simplifying w = 8
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