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Simplifying 5a + 6 + -3a = 7a + -4 Reorder the terms: 6 + 5a + -3a = 7a + -4 Combine like terms: 5a + -3a = 2a 6 + 2a = 7a + -4 Reorder the terms: 6 + 2a = -4 + 7a Solving 6 + 2a = -4 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 6 + 2a + -7a = -4 + 7a + -7a Combine like terms: 2a + -7a = -5a 6 + -5a = -4 + 7a + -7a Combine like terms: 7a + -7a = 0 6 + -5a = -4 + 0 6 + -5a = -4 Add '-6' to each side of the equation. 6 + -6 + -5a = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -5a = -4 + -6 -5a = -4 + -6 Combine like terms: -4 + -6 = -10 -5a = -10 Divide each side by '-5'. a = 2 Simplifying a = 2
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