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Simplifying 13(-45a + 27) = 15(-8a + -10) Reorder the terms: 13(27 + -45a) = 15(-8a + -10) (27 * 13 + -45a * 13) = 15(-8a + -10) (351 + -585a) = 15(-8a + -10) Reorder the terms: 351 + -585a = 15(-10 + -8a) 351 + -585a = (-10 * 15 + -8a * 15) 351 + -585a = (-150 + -120a) Solving 351 + -585a = -150 + -120a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '120a' to each side of the equation. 351 + -585a + 120a = -150 + -120a + 120a Combine like terms: -585a + 120a = -465a 351 + -465a = -150 + -120a + 120a Combine like terms: -120a + 120a = 0 351 + -465a = -150 + 0 351 + -465a = -150 Add '-351' to each side of the equation. 351 + -351 + -465a = -150 + -351 Combine like terms: 351 + -351 = 0 0 + -465a = -150 + -351 -465a = -150 + -351 Combine like terms: -150 + -351 = -501 -465a = -501 Divide each side by '-465'. a = 1.077419355 Simplifying a = 1.077419355
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