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Simplifying 5a + 6 + -3 = 7a + -4 Reorder the terms: 6 + -3 + 5a = 7a + -4 Combine like terms: 6 + -3 = 3 3 + 5a = 7a + -4 Reorder the terms: 3 + 5a = -4 + 7a Solving 3 + 5a = -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. 3 + 5a + -7a = -4 + 7a + -7a Combine like terms: 5a + -7a = -2a 3 + -2a = -4 + 7a + -7a Combine like terms: 7a + -7a = 0 3 + -2a = -4 + 0 3 + -2a = -4 Add '-3' to each side of the equation. 3 + -3 + -2a = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -2a = -4 + -3 -2a = -4 + -3 Combine like terms: -4 + -3 = -7 -2a = -7 Divide each side by '-2'. a = 3.5 Simplifying a = 3.5
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