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Simplifying 41 = 3(3 + -4a) + 4a 41 = (3 * 3 + -4a * 3) + 4a 41 = (9 + -12a) + 4a Combine like terms: -12a + 4a = -8a 41 = 9 + -8a Solving 41 = 9 + -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. 41 + 8a = 9 + -8a + 8a Combine like terms: -8a + 8a = 0 41 + 8a = 9 + 0 41 + 8a = 9 Add '-41' to each side of the equation. 41 + -41 + 8a = 9 + -41 Combine like terms: 41 + -41 = 0 0 + 8a = 9 + -41 8a = 9 + -41 Combine like terms: 9 + -41 = -32 8a = -32 Divide each side by '8'. a = -4 Simplifying a = -4
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