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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 = -481a 351 + -481a = -130 + -104a + 104a Combine like terms: -104a + 104a = 0 351 + -481a = -130 + 0 351 + -481a = -130 Add '-351' to each side of the equation. 351 + -351 + -481a = -130 + -351 Combine like terms: 351 + -351 = 0 0 + -481a = -130 + -351 -481a = -130 + -351 Combine like terms: -130 + -351 = -481 -481a = -481 Divide each side by '-481'. a = 1 Simplifying a = 1
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