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Simplifying (2w + -2) + -1(8w + -4) = 0 Reorder the terms: (-2 + 2w) + -1(8w + -4) = 0 Remove parenthesis around (-2 + 2w) -2 + 2w + -1(8w + -4) = 0 Reorder the terms: -2 + 2w + -1(-4 + 8w) = 0 -2 + 2w + (-4 * -1 + 8w * -1) = 0 -2 + 2w + (4 + -8w) = 0 Reorder the terms: -2 + 4 + 2w + -8w = 0 Combine like terms: -2 + 4 = 2 2 + 2w + -8w = 0 Combine like terms: 2w + -8w = -6w 2 + -6w = 0 Solving 2 + -6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -6w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -6w = 0 + -2 -6w = 0 + -2 Combine like terms: 0 + -2 = -2 -6w = -2 Divide each side by '-6'. w = 0.3333333333 Simplifying w = 0.3333333333
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