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Simplifying 4(w + -6) = 3w + 1 Reorder the terms: 4(-6 + w) = 3w + 1 (-6 * 4 + w * 4) = 3w + 1 (-24 + 4w) = 3w + 1 Reorder the terms: -24 + 4w = 1 + 3w Solving -24 + 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. -24 + 4w + -3w = 1 + 3w + -3w Combine like terms: 4w + -3w = 1w -24 + 1w = 1 + 3w + -3w Combine like terms: 3w + -3w = 0 -24 + 1w = 1 + 0 -24 + 1w = 1 Add '24' to each side of the equation. -24 + 24 + 1w = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 1w = 1 + 24 1w = 1 + 24 Combine like terms: 1 + 24 = 25 1w = 25 Divide each side by '1'. w = 25 Simplifying w = 25
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