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Simplifying 3a + 4 = 7a + -4 + 6 Reorder the terms: 4 + 3a = 7a + -4 + 6 Reorder the terms: 4 + 3a = -4 + 6 + 7a Combine like terms: -4 + 6 = 2 4 + 3a = 2 + 7a Solving 4 + 3a = 2 + 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. 4 + 3a + -7a = 2 + 7a + -7a Combine like terms: 3a + -7a = -4a 4 + -4a = 2 + 7a + -7a Combine like terms: 7a + -7a = 0 4 + -4a = 2 + 0 4 + -4a = 2 Add '-4' to each side of the equation. 4 + -4 + -4a = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -4a = 2 + -4 -4a = 2 + -4 Combine like terms: 2 + -4 = -2 -4a = -2 Divide each side by '-4'. a = 0.5 Simplifying a = 0.5
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