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Simplifying 56(573 + -1a) = 10(475 + -1a) (573 * 56 + -1a * 56) = 10(475 + -1a) (32088 + -56a) = 10(475 + -1a) 32088 + -56a = (475 * 10 + -1a * 10) 32088 + -56a = (4750 + -10a) Solving 32088 + -56a = 4750 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 32088 + -56a + 10a = 4750 + -10a + 10a Combine like terms: -56a + 10a = -46a 32088 + -46a = 4750 + -10a + 10a Combine like terms: -10a + 10a = 0 32088 + -46a = 4750 + 0 32088 + -46a = 4750 Add '-32088' to each side of the equation. 32088 + -32088 + -46a = 4750 + -32088 Combine like terms: 32088 + -32088 = 0 0 + -46a = 4750 + -32088 -46a = 4750 + -32088 Combine like terms: 4750 + -32088 = -27338 -46a = -27338 Divide each side by '-46'. a = 594.3043478 Simplifying a = 594.3043478
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