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Simplifying 10a + -1(3a + -11) = 5a + 12 Reorder the terms: 10a + -1(-11 + 3a) = 5a + 12 10a + (-11 * -1 + 3a * -1) = 5a + 12 10a + (11 + -3a) = 5a + 12 Reorder the terms: 11 + 10a + -3a = 5a + 12 Combine like terms: 10a + -3a = 7a 11 + 7a = 5a + 12 Reorder the terms: 11 + 7a = 12 + 5a Solving 11 + 7a = 12 + 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. 11 + 7a + -5a = 12 + 5a + -5a Combine like terms: 7a + -5a = 2a 11 + 2a = 12 + 5a + -5a Combine like terms: 5a + -5a = 0 11 + 2a = 12 + 0 11 + 2a = 12 Add '-11' to each side of the equation. 11 + -11 + 2a = 12 + -11 Combine like terms: 11 + -11 = 0 0 + 2a = 12 + -11 2a = 12 + -11 Combine like terms: 12 + -11 = 1 2a = 1 Divide each side by '2'. a = 0.5 Simplifying a = 0.5
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