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Simplifying 5a + -2 = 10 + -1a Reorder the terms: -2 + 5a = 10 + -1a Solving -2 + 5a = 10 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -2 + 5a + a = 10 + -1a + a Combine like terms: 5a + a = 6a -2 + 6a = 10 + -1a + a Combine like terms: -1a + a = 0 -2 + 6a = 10 + 0 -2 + 6a = 10 Add '2' to each side of the equation. -2 + 2 + 6a = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 6a = 10 + 2 6a = 10 + 2 Combine like terms: 10 + 2 = 12 6a = 12 Divide each side by '6'. a = 2 Simplifying a = 2
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