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Simplifying 12a + -10(a + 2) = 50 Reorder the terms: 12a + -10(2 + a) = 50 12a + (2 * -10 + a * -10) = 50 12a + (-20 + -10a) = 50 Reorder the terms: -20 + 12a + -10a = 50 Combine like terms: 12a + -10a = 2a -20 + 2a = 50 Solving -20 + 2a = 50 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 2a = 50 + 20 Combine like terms: -20 + 20 = 0 0 + 2a = 50 + 20 2a = 50 + 20 Combine like terms: 50 + 20 = 70 2a = 70 Divide each side by '2'. a = 35 Simplifying a = 35
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