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Simplifying 9(2a + 4b + 8) + 2(5a + -6) = 0 Reorder the terms: 9(8 + 2a + 4b) + 2(5a + -6) = 0 (8 * 9 + 2a * 9 + 4b * 9) + 2(5a + -6) = 0 (72 + 18a + 36b) + 2(5a + -6) = 0 Reorder the terms: 72 + 18a + 36b + 2(-6 + 5a) = 0 72 + 18a + 36b + (-6 * 2 + 5a * 2) = 0 72 + 18a + 36b + (-12 + 10a) = 0 Reorder the terms: 72 + -12 + 18a + 10a + 36b = 0 Combine like terms: 72 + -12 = 60 60 + 18a + 10a + 36b = 0 Combine like terms: 18a + 10a = 28a 60 + 28a + 36b = 0 Solving 60 + 28a + 36b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + 28a + -60 + 36b = 0 + -60 Reorder the terms: 60 + -60 + 28a + 36b = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 28a + 36b = 0 + -60 28a + 36b = 0 + -60 Combine like terms: 0 + -60 = -60 28a + 36b = -60 Add '-36b' to each side of the equation. 28a + 36b + -36b = -60 + -36b Combine like terms: 36b + -36b = 0 28a + 0 = -60 + -36b 28a = -60 + -36b Divide each side by '28'. a = -2.142857143 + -1.285714286b Simplifying a = -2.142857143 + -1.285714286b
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