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Simplifying 3a + 7 = 5a + 4 Reorder the terms: 7 + 3a = 5a + 4 Reorder the terms: 7 + 3a = 4 + 5a Solving 7 + 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. 7 + 3a + -5a = 4 + 5a + -5a Combine like terms: 3a + -5a = -2a 7 + -2a = 4 + 5a + -5a Combine like terms: 5a + -5a = 0 7 + -2a = 4 + 0 7 + -2a = 4 Add '-7' to each side of the equation. 7 + -7 + -2a = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = 4 + -7 -2a = 4 + -7 Combine like terms: 4 + -7 = -3 -2a = -3 Divide each side by '-2'. a = 1.5 Simplifying a = 1.5
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