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Simplifying 13(45a + 27) = 13(-8a + -10) Reorder the terms: 13(27 + 45a) = 13(-8a + -10) (27 * 13 + 45a * 13) = 13(-8a + -10) (351 + 585a) = 13(-8a + -10) Reorder the terms: 351 + 585a = 13(-10 + -8a) 351 + 585a = (-10 * 13 + -8a * 13) 351 + 585a = (-130 + -104a) Solving 351 + 585a = -130 + -104a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '104a' to each side of the equation. 351 + 585a + 104a = -130 + -104a + 104a Combine like terms: 585a + 104a = 689a 351 + 689a = -130 + -104a + 104a Combine like terms: -104a + 104a = 0 351 + 689a = -130 + 0 351 + 689a = -130 Add '-351' to each side of the equation. 351 + -351 + 689a = -130 + -351 Combine like terms: 351 + -351 = 0 0 + 689a = -130 + -351 689a = -130 + -351 Combine like terms: -130 + -351 = -481 689a = -481 Divide each side by '689'. a = -0.6981132075 Simplifying a = -0.6981132075
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