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Simplifying 3a + 41 = 6a + -4 Reorder the terms: 41 + 3a = 6a + -4 Reorder the terms: 41 + 3a = -4 + 6a Solving 41 + 3a = -4 + 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. 41 + 3a + -6a = -4 + 6a + -6a Combine like terms: 3a + -6a = -3a 41 + -3a = -4 + 6a + -6a Combine like terms: 6a + -6a = 0 41 + -3a = -4 + 0 41 + -3a = -4 Add '-41' to each side of the equation. 41 + -41 + -3a = -4 + -41 Combine like terms: 41 + -41 = 0 0 + -3a = -4 + -41 -3a = -4 + -41 Combine like terms: -4 + -41 = -45 -3a = -45 Divide each side by '-3'. a = 15 Simplifying a = 15
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