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Simplifying 3w + -6 + 2x = -2 + w Reorder the terms: -6 + 3w + 2x = -2 + w Solving -6 + 3w + 2x = -2 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -6 + 3w + -1w + 2x = -2 + w + -1w Combine like terms: 3w + -1w = 2w -6 + 2w + 2x = -2 + w + -1w Combine like terms: w + -1w = 0 -6 + 2w + 2x = -2 + 0 -6 + 2w + 2x = -2 Add '6' to each side of the equation. -6 + 2w + 6 + 2x = -2 + 6 Reorder the terms: -6 + 6 + 2w + 2x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 2w + 2x = -2 + 6 2w + 2x = -2 + 6 Combine like terms: -2 + 6 = 4 2w + 2x = 4 Add '-2x' to each side of the equation. 2w + 2x + -2x = 4 + -2x Combine like terms: 2x + -2x = 0 2w + 0 = 4 + -2x 2w = 4 + -2x Divide each side by '2'. w = 2 + -1x Simplifying w = 2 + -1x
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