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Simplifying 5 + -3w + -4(7w + 1) = 0 Reorder the terms: 5 + -3w + -4(1 + 7w) = 0 5 + -3w + (1 * -4 + 7w * -4) = 0 5 + -3w + (-4 + -28w) = 0 Reorder the terms: 5 + -4 + -3w + -28w = 0 Combine like terms: 5 + -4 = 1 1 + -3w + -28w = 0 Combine like terms: -3w + -28w = -31w 1 + -31w = 0 Solving 1 + -31w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -31w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -31w = 0 + -1 -31w = 0 + -1 Combine like terms: 0 + -1 = -1 -31w = -1 Divide each side by '-31'. w = 0.03225806452 Simplifying w = 0.03225806452
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