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