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Simplifying 4(6w + 5) + 7(8w + -6) = 0 Reorder the terms: 4(5 + 6w) + 7(8w + -6) = 0 (5 * 4 + 6w * 4) + 7(8w + -6) = 0 (20 + 24w) + 7(8w + -6) = 0 Reorder the terms: 20 + 24w + 7(-6 + 8w) = 0 20 + 24w + (-6 * 7 + 8w * 7) = 0 20 + 24w + (-42 + 56w) = 0 Reorder the terms: 20 + -42 + 24w + 56w = 0 Combine like terms: 20 + -42 = -22 -22 + 24w + 56w = 0 Combine like terms: 24w + 56w = 80w -22 + 80w = 0 Solving -22 + 80w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 80w = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 80w = 0 + 22 80w = 0 + 22 Combine like terms: 0 + 22 = 22 80w = 22 Divide each side by '80'. w = 0.275 Simplifying w = 0.275
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