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Simplifying 3(-45a + 27) = 13(-8a + -10) Reorder the terms: 3(27 + -45a) = 13(-8a + -10) (27 * 3 + -45a * 3) = 13(-8a + -10) (81 + -135a) = 13(-8a + -10) Reorder the terms: 81 + -135a = 13(-10 + -8a) 81 + -135a = (-10 * 13 + -8a * 13) 81 + -135a = (-130 + -104a) Solving 81 + -135a = -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. 81 + -135a + 104a = -130 + -104a + 104a Combine like terms: -135a + 104a = -31a 81 + -31a = -130 + -104a + 104a Combine like terms: -104a + 104a = 0 81 + -31a = -130 + 0 81 + -31a = -130 Add '-81' to each side of the equation. 81 + -81 + -31a = -130 + -81 Combine like terms: 81 + -81 = 0 0 + -31a = -130 + -81 -31a = -130 + -81 Combine like terms: -130 + -81 = -211 -31a = -211 Divide each side by '-31'. a = 6.806451613 Simplifying a = 6.806451613
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