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Simplifying 4w + 2 = 7w + 1 Reorder the terms: 2 + 4w = 7w + 1 Reorder the terms: 2 + 4w = 1 + 7w Solving 2 + 4w = 1 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 2 + 4w + -7w = 1 + 7w + -7w Combine like terms: 4w + -7w = -3w 2 + -3w = 1 + 7w + -7w Combine like terms: 7w + -7w = 0 2 + -3w = 1 + 0 2 + -3w = 1 Add '-2' to each side of the equation. 2 + -2 + -3w = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -3w = 1 + -2 -3w = 1 + -2 Combine like terms: 1 + -2 = -1 -3w = -1 Divide each side by '-3'. w = 0.3333333333 Simplifying w = 0.3333333333
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