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Simplifying 2(3a + -7) + 5a + -6 = 180 Reorder the terms: 2(-7 + 3a) + 5a + -6 = 180 (-7 * 2 + 3a * 2) + 5a + -6 = 180 (-14 + 6a) + 5a + -6 = 180 Reorder the terms: -14 + -6 + 6a + 5a = 180 Combine like terms: -14 + -6 = -20 -20 + 6a + 5a = 180 Combine like terms: 6a + 5a = 11a -20 + 11a = 180 Solving -20 + 11a = 180 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 + 11a = 180 + 20 Combine like terms: -20 + 20 = 0 0 + 11a = 180 + 20 11a = 180 + 20 Combine like terms: 180 + 20 = 200 11a = 200 Divide each side by '11'. a = 18.18181818 Simplifying a = 18.18181818
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