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Simplifying 18a + -1(a + -12) + 7(2a + -1) = 0 Reorder the terms: 18a + -1(-12 + a) + 7(2a + -1) = 0 18a + (-12 * -1 + a * -1) + 7(2a + -1) = 0 18a + (12 + -1a) + 7(2a + -1) = 0 Reorder the terms: 18a + 12 + -1a + 7(-1 + 2a) = 0 18a + 12 + -1a + (-1 * 7 + 2a * 7) = 0 18a + 12 + -1a + (-7 + 14a) = 0 Reorder the terms: 12 + -7 + 18a + -1a + 14a = 0 Combine like terms: 12 + -7 = 5 5 + 18a + -1a + 14a = 0 Combine like terms: 18a + -1a = 17a 5 + 17a + 14a = 0 Combine like terms: 17a + 14a = 31a 5 + 31a = 0 Solving 5 + 31a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 31a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 31a = 0 + -5 31a = 0 + -5 Combine like terms: 0 + -5 = -5 31a = -5 Divide each side by '31'. a = -0.1612903226 Simplifying a = -0.1612903226
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