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Simplifying 12a + 5(a + -3) = 19 Reorder the terms: 12a + 5(-3 + a) = 19 12a + (-3 * 5 + a * 5) = 19 12a + (-15 + 5a) = 19 Reorder the terms: -15 + 12a + 5a = 19 Combine like terms: 12a + 5a = 17a -15 + 17a = 19 Solving -15 + 17a = 19 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 17a = 19 + 15 Combine like terms: -15 + 15 = 0 0 + 17a = 19 + 15 17a = 19 + 15 Combine like terms: 19 + 15 = 34 17a = 34 Divide each side by '17'. a = 2 Simplifying a = 2
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