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Simplifying -6(w + -4) + -1(6 + -8w) = w Reorder the terms: -6(-4 + w) + -1(6 + -8w) = w (-4 * -6 + w * -6) + -1(6 + -8w) = w (24 + -6w) + -1(6 + -8w) = w 24 + -6w + (6 * -1 + -8w * -1) = w 24 + -6w + (-6 + 8w) = w Reorder the terms: 24 + -6 + -6w + 8w = w Combine like terms: 24 + -6 = 18 18 + -6w + 8w = w Combine like terms: -6w + 8w = 2w 18 + 2w = w Solving 18 + 2w = w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 18 + 2w + -1w = w + -1w Combine like terms: 2w + -1w = 1w 18 + 1w = w + -1w Combine like terms: w + -1w = 0 18 + 1w = 0 Add '-18' to each side of the equation. 18 + -18 + 1w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1w = 0 + -18 1w = 0 + -18 Combine like terms: 0 + -18 = -18 1w = -18 Divide each side by '1'. w = -18 Simplifying w = -18
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