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Simplifying -10(7w + -5) + -5(1w + -4) = 0 Reorder the terms: -10(-5 + 7w) + -5(1w + -4) = 0 (-5 * -10 + 7w * -10) + -5(1w + -4) = 0 (50 + -70w) + -5(1w + -4) = 0 Reorder the terms: 50 + -70w + -5(-4 + 1w) = 0 50 + -70w + (-4 * -5 + 1w * -5) = 0 50 + -70w + (20 + -5w) = 0 Reorder the terms: 50 + 20 + -70w + -5w = 0 Combine like terms: 50 + 20 = 70 70 + -70w + -5w = 0 Combine like terms: -70w + -5w = -75w 70 + -75w = 0 Solving 70 + -75w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -75w = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -75w = 0 + -70 -75w = 0 + -70 Combine like terms: 0 + -70 = -70 -75w = -70 Divide each side by '-75'. w = 0.9333333333 Simplifying w = 0.9333333333
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