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Simplifying 10a + 1 = 5a + -14 Reorder the terms: 1 + 10a = 5a + -14 Reorder the terms: 1 + 10a = -14 + 5a Solving 1 + 10a = -14 + 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. 1 + 10a + -5a = -14 + 5a + -5a Combine like terms: 10a + -5a = 5a 1 + 5a = -14 + 5a + -5a Combine like terms: 5a + -5a = 0 1 + 5a = -14 + 0 1 + 5a = -14 Add '-1' to each side of the equation. 1 + -1 + 5a = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 5a = -14 + -1 5a = -14 + -1 Combine like terms: -14 + -1 = -15 5a = -15 Divide each side by '5'. a = -3 Simplifying a = -3
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