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Simplifying 7a + -56 + 24 = -3a + 18 Reorder the terms: -56 + 24 + 7a = -3a + 18 Combine like terms: -56 + 24 = -32 -32 + 7a = -3a + 18 Reorder the terms: -32 + 7a = 18 + -3a Solving -32 + 7a = 18 + -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. -32 + 7a + 3a = 18 + -3a + 3a Combine like terms: 7a + 3a = 10a -32 + 10a = 18 + -3a + 3a Combine like terms: -3a + 3a = 0 -32 + 10a = 18 + 0 -32 + 10a = 18 Add '32' to each side of the equation. -32 + 32 + 10a = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 10a = 18 + 32 10a = 18 + 32 Combine like terms: 18 + 32 = 50 10a = 50 Divide each side by '10'. a = 5 Simplifying a = 5
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