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Simplifying 5a + -4(1 + -1a) = 41 + -6a 5a + (1 * -4 + -1a * -4) = 41 + -6a 5a + (-4 + 4a) = 41 + -6a Reorder the terms: -4 + 5a + 4a = 41 + -6a Combine like terms: 5a + 4a = 9a -4 + 9a = 41 + -6a Solving -4 + 9a = 41 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -4 + 9a + 6a = 41 + -6a + 6a Combine like terms: 9a + 6a = 15a -4 + 15a = 41 + -6a + 6a Combine like terms: -6a + 6a = 0 -4 + 15a = 41 + 0 -4 + 15a = 41 Add '4' to each side of the equation. -4 + 4 + 15a = 41 + 4 Combine like terms: -4 + 4 = 0 0 + 15a = 41 + 4 15a = 41 + 4 Combine like terms: 41 + 4 = 45 15a = 45 Divide each side by '15'. a = 3 Simplifying a = 3
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