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Simplifying 5(a + 4) + 2(6a + -1) = 0 Reorder the terms: 5(4 + a) + 2(6a + -1) = 0 (4 * 5 + a * 5) + 2(6a + -1) = 0 (20 + 5a) + 2(6a + -1) = 0 Reorder the terms: 20 + 5a + 2(-1 + 6a) = 0 20 + 5a + (-1 * 2 + 6a * 2) = 0 20 + 5a + (-2 + 12a) = 0 Reorder the terms: 20 + -2 + 5a + 12a = 0 Combine like terms: 20 + -2 = 18 18 + 5a + 12a = 0 Combine like terms: 5a + 12a = 17a 18 + 17a = 0 Solving 18 + 17a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 17a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 17a = 0 + -18 17a = 0 + -18 Combine like terms: 0 + -18 = -18 17a = -18 Divide each side by '17'. a = -1.058823529 Simplifying a = -1.058823529
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