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