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Simplifying 6 + 3a = 4 + -5a Solving 6 + 3a = 4 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 6 + 3a + 5a = 4 + -5a + 5a Combine like terms: 3a + 5a = 8a 6 + 8a = 4 + -5a + 5a Combine like terms: -5a + 5a = 0 6 + 8a = 4 + 0 6 + 8a = 4 Add '-6' to each side of the equation. 6 + -6 + 8a = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 8a = 4 + -6 8a = 4 + -6 Combine like terms: 4 + -6 = -2 8a = -2 Divide each side by '8'. a = -0.25 Simplifying a = -0.25
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