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Simplifying 3a + -4 = 6 + -7a Reorder the terms: -4 + 3a = 6 + -7a Solving -4 + 3a = 6 + -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 = 6 + -7a + 7a Combine like terms: 3a + 7a = 10a -4 + 10a = 6 + -7a + 7a Combine like terms: -7a + 7a = 0 -4 + 10a = 6 + 0 -4 + 10a = 6 Add '4' to each side of the equation. -4 + 4 + 10a = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 10a = 6 + 4 10a = 6 + 4 Combine like terms: 6 + 4 = 10 10a = 10 Divide each side by '10'. a = 1 Simplifying a = 1
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