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Simplifying 10a + 6 = 5a + -9 Reorder the terms: 6 + 10a = 5a + -9 Reorder the terms: 6 + 10a = -9 + 5a Solving 6 + 10a = -9 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 6 + 10a + -5a = -9 + 5a + -5a Combine like terms: 10a + -5a = 5a 6 + 5a = -9 + 5a + -5a Combine like terms: 5a + -5a = 0 6 + 5a = -9 + 0 6 + 5a = -9 Add '-6' to each side of the equation. 6 + -6 + 5a = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 5a = -9 + -6 5a = -9 + -6 Combine like terms: -9 + -6 = -15 5a = -15 Divide each side by '5'. a = -3 Simplifying a = -3
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