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Simplifying 2(w + 4) + -1(4 + 7w) = -6w Reorder the terms: 2(4 + w) + -1(4 + 7w) = -6w (4 * 2 + w * 2) + -1(4 + 7w) = -6w (8 + 2w) + -1(4 + 7w) = -6w 8 + 2w + (4 * -1 + 7w * -1) = -6w 8 + 2w + (-4 + -7w) = -6w Reorder the terms: 8 + -4 + 2w + -7w = -6w Combine like terms: 8 + -4 = 4 4 + 2w + -7w = -6w Combine like terms: 2w + -7w = -5w 4 + -5w = -6w Solving 4 + -5w = -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 4 + -5w + 6w = -6w + 6w Combine like terms: -5w + 6w = 1w 4 + 1w = -6w + 6w Combine like terms: -6w + 6w = 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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