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Simplifying -10(8w + 7) + -4(6w + 3) = 0 Reorder the terms: -10(7 + 8w) + -4(6w + 3) = 0 (7 * -10 + 8w * -10) + -4(6w + 3) = 0 (-70 + -80w) + -4(6w + 3) = 0 Reorder the terms: -70 + -80w + -4(3 + 6w) = 0 -70 + -80w + (3 * -4 + 6w * -4) = 0 -70 + -80w + (-12 + -24w) = 0 Reorder the terms: -70 + -12 + -80w + -24w = 0 Combine like terms: -70 + -12 = -82 -82 + -80w + -24w = 0 Combine like terms: -80w + -24w = -104w -82 + -104w = 0 Solving -82 + -104w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '82' to each side of the equation. -82 + 82 + -104w = 0 + 82 Combine like terms: -82 + 82 = 0 0 + -104w = 0 + 82 -104w = 0 + 82 Combine like terms: 0 + 82 = 82 -104w = 82 Divide each side by '-104'. w = -0.7884615385 Simplifying w = -0.7884615385
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