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Simplifying -2(w + -4) + -1(4 + 6w) = -9w Reorder the terms: -2(-4 + w) + -1(4 + 6w) = -9w (-4 * -2 + w * -2) + -1(4 + 6w) = -9w (8 + -2w) + -1(4 + 6w) = -9w 8 + -2w + (4 * -1 + 6w * -1) = -9w 8 + -2w + (-4 + -6w) = -9w Reorder the terms: 8 + -4 + -2w + -6w = -9w Combine like terms: 8 + -4 = 4 4 + -2w + -6w = -9w Combine like terms: -2w + -6w = -8w 4 + -8w = -9w Solving 4 + -8w = -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 4 + -8w + 9w = -9w + 9w Combine like terms: -8w + 9w = 1w 4 + 1w = -9w + 9w Combine like terms: -9w + 9w = 0 4 + 1w = 0 Add '-4' to each side of the equation. 4 + -4 + 1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1w = 0 + -4 1w = 0 + -4 Combine like terms: 0 + -4 = -4 1w = -4 Divide each side by '1'. w = -4 Simplifying w = -4
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