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Simplifying 4(w + -6) = (w + 1) Reorder the terms: 4(-6 + w) = (w + 1) (-6 * 4 + w * 4) = (w + 1) (-24 + 4w) = (w + 1) Reorder the terms: -24 + 4w = (1 + w) Remove parenthesis around (1 + w) -24 + 4w = 1 + w Solving -24 + 4w = 1 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -24 + 4w + -1w = 1 + w + -1w Combine like terms: 4w + -1w = 3w -24 + 3w = 1 + w + -1w Combine like terms: w + -1w = 0 -24 + 3w = 1 + 0 -24 + 3w = 1 Add '24' to each side of the equation. -24 + 24 + 3w = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 3w = 1 + 24 3w = 1 + 24 Combine like terms: 1 + 24 = 25 3w = 25 Divide each side by '3'. w = 8.333333333 Simplifying w = 8.333333333
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