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Simplifying 2(5a + -3) + -9a = 12 + -5 Reorder the terms: 2(-3 + 5a) + -9a = 12 + -5 (-3 * 2 + 5a * 2) + -9a = 12 + -5 (-6 + 10a) + -9a = 12 + -5 Combine like terms: 10a + -9a = 1a -6 + 1a = 12 + -5 Combine like terms: 12 + -5 = 7 -6 + 1a = 7 Solving -6 + 1a = 7 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 = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 1a = 7 + 6 1a = 7 + 6 Combine like terms: 7 + 6 = 13 1a = 13 Divide each side by '1'. a = 13 Simplifying a = 13
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