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Simplifying (13 + -45a) * 27 = 13(8a + -10) Reorder the terms for easier multiplication: 27(13 + -45a) = 13(8a + -10) (13 * 27 + -45a * 27) = 13(8a + -10) (351 + -1215a) = 13(8a + -10) Reorder the terms: 351 + -1215a = 13(-10 + 8a) 351 + -1215a = (-10 * 13 + 8a * 13) 351 + -1215a = (-130 + 104a) Solving 351 + -1215a = -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 + -1215a + -104a = -130 + 104a + -104a Combine like terms: -1215a + -104a = -1319a 351 + -1319a = -130 + 104a + -104a Combine like terms: 104a + -104a = 0 351 + -1319a = -130 + 0 351 + -1319a = -130 Add '-351' to each side of the equation. 351 + -351 + -1319a = -130 + -351 Combine like terms: 351 + -351 = 0 0 + -1319a = -130 + -351 -1319a = -130 + -351 Combine like terms: -130 + -351 = -481 -1319a = -481 Divide each side by '-1319'. a = 0.3646702047 Simplifying a = 0.3646702047
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