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Simplifying 3w + -2 + w = 5 + 7w + -3 Reorder the terms: -2 + 3w + w = 5 + 7w + -3 Combine like terms: 3w + w = 4w -2 + 4w = 5 + 7w + -3 Reorder the terms: -2 + 4w = 5 + -3 + 7w Combine like terms: 5 + -3 = 2 -2 + 4w = 2 + 7w Solving -2 + 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. -2 + 4w + -7w = 2 + 7w + -7w Combine like terms: 4w + -7w = -3w -2 + -3w = 2 + 7w + -7w Combine like terms: 7w + -7w = 0 -2 + -3w = 2 + 0 -2 + -3w = 2 Add '2' to each side of the equation. -2 + 2 + -3w = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -3w = 2 + 2 -3w = 2 + 2 Combine like terms: 2 + 2 = 4 -3w = 4 Divide each side by '-3'. w = -1.333333333 Simplifying w = -1.333333333
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