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Simplifying 4(w + 8) + 2(2w + -7) = 0 Reorder the terms: 4(8 + w) + 2(2w + -7) = 0 (8 * 4 + w * 4) + 2(2w + -7) = 0 (32 + 4w) + 2(2w + -7) = 0 Reorder the terms: 32 + 4w + 2(-7 + 2w) = 0 32 + 4w + (-7 * 2 + 2w * 2) = 0 32 + 4w + (-14 + 4w) = 0 Reorder the terms: 32 + -14 + 4w + 4w = 0 Combine like terms: 32 + -14 = 18 18 + 4w + 4w = 0 Combine like terms: 4w + 4w = 8w 18 + 8w = 0 Solving 18 + 8w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 8w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 8w = 0 + -18 8w = 0 + -18 Combine like terms: 0 + -18 = -18 8w = -18 Divide each side by '8'. w = -2.25 Simplifying w = -2.25
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