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Simplifying 4a + 6 = 7a + -3 Reorder the terms: 6 + 4a = 7a + -3 Reorder the terms: 6 + 4a = -3 + 7a Solving 6 + 4a = -3 + 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 + 4a + -7a = -3 + 7a + -7a Combine like terms: 4a + -7a = -3a 6 + -3a = -3 + 7a + -7a Combine like terms: 7a + -7a = 0 6 + -3a = -3 + 0 6 + -3a = -3 Add '-6' to each side of the equation. 6 + -6 + -3a = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -3a = -3 + -6 -3a = -3 + -6 Combine like terms: -3 + -6 = -9 -3a = -9 Divide each side by '-3'. a = 3 Simplifying a = 3
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