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Simplifying 2w + -6 = 3w + -2 Reorder the terms: -6 + 2w = 3w + -2 Reorder the terms: -6 + 2w = -2 + 3w Solving -6 + 2w = -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. -6 + 2w + -3w = -2 + 3w + -3w Combine like terms: 2w + -3w = -1w -6 + -1w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 -6 + -1w = -2 + 0 -6 + -1w = -2 Add '6' to each side of the equation. -6 + 6 + -1w = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -1w = -2 + 6 -1w = -2 + 6 Combine like terms: -2 + 6 = 4 -1w = 4 Divide each side by '-1'. w = -4 Simplifying w = -4
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