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Simplifying 2(w + -1) = -6w + 22 Reorder the terms: 2(-1 + w) = -6w + 22 (-1 * 2 + w * 2) = -6w + 22 (-2 + 2w) = -6w + 22 Reorder the terms: -2 + 2w = 22 + -6w Solving -2 + 2w = 22 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -2 + 2w + 6w = 22 + -6w + 6w Combine like terms: 2w + 6w = 8w -2 + 8w = 22 + -6w + 6w Combine like terms: -6w + 6w = 0 -2 + 8w = 22 + 0 -2 + 8w = 22 Add '2' to each side of the equation. -2 + 2 + 8w = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 8w = 22 + 2 8w = 22 + 2 Combine like terms: 22 + 2 = 24 8w = 24 Divide each side by '8'. w = 3 Simplifying w = 3
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