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Simplifying 7a + -6 = 4 + -3a Reorder the terms: -6 + 7a = 4 + -3a Solving -6 + 7a = 4 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -6 + 7a + 3a = 4 + -3a + 3a Combine like terms: 7a + 3a = 10a -6 + 10a = 4 + -3a + 3a Combine like terms: -3a + 3a = 0 -6 + 10a = 4 + 0 -6 + 10a = 4 Add '6' to each side of the equation. -6 + 6 + 10a = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 10a = 4 + 6 10a = 4 + 6 Combine like terms: 4 + 6 = 10 10a = 10 Divide each side by '10'. a = 1 Simplifying a = 1
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