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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 = 221 689a = 221 Divide each side by '689'. a = 0.320754717 Simplifying a = 0.320754717
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