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Simplifying 6w + -2(19 + -1w) = 22 6w + (19 * -2 + -1w * -2) = 22 6w + (-38 + 2w) = 22 Reorder the terms: -38 + 6w + 2w = 22 Combine like terms: 6w + 2w = 8w -38 + 8w = 22 Solving -38 + 8w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 8w = 22 + 38 Combine like terms: -38 + 38 = 0 0 + 8w = 22 + 38 8w = 22 + 38 Combine like terms: 22 + 38 = 60 8w = 60 Divide each side by '8'. w = 7.5 Simplifying w = 7.5
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