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Simplifying 3(4a + -2) + -11a = 10 + -4 Reorder the terms: 3(-2 + 4a) + -11a = 10 + -4 (-2 * 3 + 4a * 3) + -11a = 10 + -4 (-6 + 12a) + -11a = 10 + -4 Combine like terms: 12a + -11a = 1a -6 + 1a = 10 + -4 Combine like terms: 10 + -4 = 6 -6 + 1a = 6 Solving -6 + 1a = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1a = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1a = 6 + 6 1a = 6 + 6 Combine like terms: 6 + 6 = 12 1a = 12 Divide each side by '1'. a = 12 Simplifying a = 12
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