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Simplifying 9a + -4 + 3(a + -11) = 23 Reorder the terms: 9a + -4 + 3(-11 + a) = 23 9a + -4 + (-11 * 3 + a * 3) = 23 9a + -4 + (-33 + 3a) = 23 Reorder the terms: -4 + -33 + 9a + 3a = 23 Combine like terms: -4 + -33 = -37 -37 + 9a + 3a = 23 Combine like terms: 9a + 3a = 12a -37 + 12a = 23 Solving -37 + 12a = 23 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 12a = 23 + 37 Combine like terms: -37 + 37 = 0 0 + 12a = 23 + 37 12a = 23 + 37 Combine like terms: 23 + 37 = 60 12a = 60 Divide each side by '12'. a = 5 Simplifying a = 5
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