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Simplifying 8(10w + 11) + 4(6w + -8) = 0 Reorder the terms: 8(11 + 10w) + 4(6w + -8) = 0 (11 * 8 + 10w * 8) + 4(6w + -8) = 0 (88 + 80w) + 4(6w + -8) = 0 Reorder the terms: 88 + 80w + 4(-8 + 6w) = 0 88 + 80w + (-8 * 4 + 6w * 4) = 0 88 + 80w + (-32 + 24w) = 0 Reorder the terms: 88 + -32 + 80w + 24w = 0 Combine like terms: 88 + -32 = 56 56 + 80w + 24w = 0 Combine like terms: 80w + 24w = 104w 56 + 104w = 0 Solving 56 + 104w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 104w = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 104w = 0 + -56 104w = 0 + -56 Combine like terms: 0 + -56 = -56 104w = -56 Divide each side by '104'. w = -0.5384615385 Simplifying w = -0.5384615385
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