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Simplifying 7(w + -2) = 4w + 1 Reorder the terms: 7(-2 + w) = 4w + 1 (-2 * 7 + w * 7) = 4w + 1 (-14 + 7w) = 4w + 1 Reorder the terms: -14 + 7w = 1 + 4w Solving -14 + 7w = 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. -14 + 7w + -4w = 1 + 4w + -4w Combine like terms: 7w + -4w = 3w -14 + 3w = 1 + 4w + -4w Combine like terms: 4w + -4w = 0 -14 + 3w = 1 + 0 -14 + 3w = 1 Add '14' to each side of the equation. -14 + 14 + 3w = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 3w = 1 + 14 3w = 1 + 14 Combine like terms: 1 + 14 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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