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Simplifying 7a + -6 = -3a + 24 Reorder the terms: -6 + 7a = -3a + 24 Reorder the terms: -6 + 7a = 24 + -3a Solving -6 + 7a = 24 + -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 = 24 + -3a + 3a Combine like terms: 7a + 3a = 10a -6 + 10a = 24 + -3a + 3a Combine like terms: -3a + 3a = 0 -6 + 10a = 24 + 0 -6 + 10a = 24 Add '6' to each side of the equation. -6 + 6 + 10a = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 10a = 24 + 6 10a = 24 + 6 Combine like terms: 24 + 6 = 30 10a = 30 Divide each side by '10'. a = 3 Simplifying a = 3
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