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Simplifying 12a + 3(-2 + a) + -1(a + -5) = 0 12a + (-2 * 3 + a * 3) + -1(a + -5) = 0 12a + (-6 + 3a) + -1(a + -5) = 0 Reorder the terms: 12a + -6 + 3a + -1(-5 + a) = 0 12a + -6 + 3a + (-5 * -1 + a * -1) = 0 12a + -6 + 3a + (5 + -1a) = 0 Reorder the terms: -6 + 5 + 12a + 3a + -1a = 0 Combine like terms: -6 + 5 = -1 -1 + 12a + 3a + -1a = 0 Combine like terms: 12a + 3a = 15a -1 + 15a + -1a = 0 Combine like terms: 15a + -1a = 14a -1 + 14a = 0 Solving -1 + 14a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 14a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 14a = 0 + 1 14a = 0 + 1 Combine like terms: 0 + 1 = 1 14a = 1 Divide each side by '14'. a = 0.07142857143 Simplifying a = 0.07142857143
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