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Simplifying 2w + 6(w + -7) = -2 Reorder the terms: 2w + 6(-7 + w) = -2 2w + (-7 * 6 + w * 6) = -2 2w + (-42 + 6w) = -2 Reorder the terms: -42 + 2w + 6w = -2 Combine like terms: 2w + 6w = 8w -42 + 8w = -2 Solving -42 + 8w = -2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 8w = -2 + 42 Combine like terms: -42 + 42 = 0 0 + 8w = -2 + 42 8w = -2 + 42 Combine like terms: -2 + 42 = 40 8w = 40 Divide each side by '8'. w = 5 Simplifying w = 5
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