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Simplifying 2(w + -1) + 4 = 2 + -6w Reorder the terms: 2(-1 + w) + 4 = 2 + -6w (-1 * 2 + w * 2) + 4 = 2 + -6w (-2 + 2w) + 4 = 2 + -6w Reorder the terms: -2 + 4 + 2w = 2 + -6w Combine like terms: -2 + 4 = 2 2 + 2w = 2 + -6w Add '-2' to each side of the equation. 2 + -2 + 2w = 2 + -2 + -6w Combine like terms: 2 + -2 = 0 0 + 2w = 2 + -2 + -6w 2w = 2 + -2 + -6w Combine like terms: 2 + -2 = 0 2w = 0 + -6w 2w = -6w Solving 2w = -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. 2w + 6w = -6w + 6w Combine like terms: 2w + 6w = 8w 8w = -6w + 6w Combine like terms: -6w + 6w = 0 8w = 0 Divide each side by '8'. w = 0 Simplifying w = 0
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