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Simplifying 7w + -14 = 3w + -3 + 1 Reorder the terms: -14 + 7w = 3w + -3 + 1 Reorder the terms: -14 + 7w = -3 + 1 + 3w Combine like terms: -3 + 1 = -2 -14 + 7w = -2 + 3w Solving -14 + 7w = -2 + 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. -14 + 7w + -3w = -2 + 3w + -3w Combine like terms: 7w + -3w = 4w -14 + 4w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 -14 + 4w = -2 + 0 -14 + 4w = -2 Add '14' to each side of the equation. -14 + 14 + 4w = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 4w = -2 + 14 4w = -2 + 14 Combine like terms: -2 + 14 = 12 4w = 12 Divide each side by '4'. w = 3 Simplifying w = 3
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