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Simplifying 14 + 3a = -5(-1a + -6) + 2(5a + 2) Reorder the terms: 14 + 3a = -5(-6 + -1a) + 2(5a + 2) 14 + 3a = (-6 * -5 + -1a * -5) + 2(5a + 2) 14 + 3a = (30 + 5a) + 2(5a + 2) Reorder the terms: 14 + 3a = 30 + 5a + 2(2 + 5a) 14 + 3a = 30 + 5a + (2 * 2 + 5a * 2) 14 + 3a = 30 + 5a + (4 + 10a) Reorder the terms: 14 + 3a = 30 + 4 + 5a + 10a Combine like terms: 30 + 4 = 34 14 + 3a = 34 + 5a + 10a Combine like terms: 5a + 10a = 15a 14 + 3a = 34 + 15a Solving 14 + 3a = 34 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 14 + 3a + -15a = 34 + 15a + -15a Combine like terms: 3a + -15a = -12a 14 + -12a = 34 + 15a + -15a Combine like terms: 15a + -15a = 0 14 + -12a = 34 + 0 14 + -12a = 34 Add '-14' to each side of the equation. 14 + -14 + -12a = 34 + -14 Combine like terms: 14 + -14 = 0 0 + -12a = 34 + -14 -12a = 34 + -14 Combine like terms: 34 + -14 = 20 -12a = 20 Divide each side by '-12'. a = -1.666666667 Simplifying a = -1.666666667
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