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Simplifying -8w + 6(w + -2) = 2 Reorder the terms: -8w + 6(-2 + w) = 2 -8w + (-2 * 6 + w * 6) = 2 -8w + (-12 + 6w) = 2 Reorder the terms: -12 + -8w + 6w = 2 Combine like terms: -8w + 6w = -2w -12 + -2w = 2 Solving -12 + -2w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -2w = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -2w = 2 + 12 -2w = 2 + 12 Combine like terms: 2 + 12 = 14 -2w = 14 Divide each side by '-2'. w = -7 Simplifying w = -7
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