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Simplifying 2(w + -3) = -2w + 22 Reorder the terms: 2(-3 + w) = -2w + 22 (-3 * 2 + w * 2) = -2w + 22 (-6 + 2w) = -2w + 22 Reorder the terms: -6 + 2w = 22 + -2w Solving -6 + 2w = 22 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -6 + 2w + 2w = 22 + -2w + 2w Combine like terms: 2w + 2w = 4w -6 + 4w = 22 + -2w + 2w Combine like terms: -2w + 2w = 0 -6 + 4w = 22 + 0 -6 + 4w = 22 Add '6' to each side of the equation. -6 + 6 + 4w = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 4w = 22 + 6 4w = 22 + 6 Combine like terms: 22 + 6 = 28 4w = 28 Divide each side by '4'. w = 7 Simplifying w = 7
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