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Simplifying 6(2a + -3) + -2(a + -9) + 6a = 7 Reorder the terms: 6(-3 + 2a) + -2(a + -9) + 6a = 7 (-3 * 6 + 2a * 6) + -2(a + -9) + 6a = 7 (-18 + 12a) + -2(a + -9) + 6a = 7 Reorder the terms: -18 + 12a + -2(-9 + a) + 6a = 7 -18 + 12a + (-9 * -2 + a * -2) + 6a = 7 -18 + 12a + (18 + -2a) + 6a = 7 Reorder the terms: -18 + 18 + 12a + -2a + 6a = 7 Combine like terms: -18 + 18 = 0 0 + 12a + -2a + 6a = 7 12a + -2a + 6a = 7 Combine like terms: 12a + -2a = 10a 10a + 6a = 7 Combine like terms: 10a + 6a = 16a 16a = 7 Solving 16a = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '16'. a = 0.4375 Simplifying a = 0.4375
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