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Simplifying 9(5a + -4) + -1 = 14 + -8a Reorder the terms: 9(-4 + 5a) + -1 = 14 + -8a (-4 * 9 + 5a * 9) + -1 = 14 + -8a (-36 + 45a) + -1 = 14 + -8a Reorder the terms: -36 + -1 + 45a = 14 + -8a Combine like terms: -36 + -1 = -37 -37 + 45a = 14 + -8a Solving -37 + 45a = 14 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -37 + 45a + 8a = 14 + -8a + 8a Combine like terms: 45a + 8a = 53a -37 + 53a = 14 + -8a + 8a Combine like terms: -8a + 8a = 0 -37 + 53a = 14 + 0 -37 + 53a = 14 Add '37' to each side of the equation. -37 + 37 + 53a = 14 + 37 Combine like terms: -37 + 37 = 0 0 + 53a = 14 + 37 53a = 14 + 37 Combine like terms: 14 + 37 = 51 53a = 51 Divide each side by '53'. a = 0.9622641509 Simplifying a = 0.9622641509
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