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Simplifying 10a + -5 + -16a + 20 = 1a + 2 Reorder the terms: -5 + 20 + 10a + -16a = 1a + 2 Combine like terms: -5 + 20 = 15 15 + 10a + -16a = 1a + 2 Combine like terms: 10a + -16a = -6a 15 + -6a = 1a + 2 Reorder the terms: 15 + -6a = 2 + 1a Solving 15 + -6a = 2 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 15 + -6a + -1a = 2 + 1a + -1a Combine like terms: -6a + -1a = -7a 15 + -7a = 2 + 1a + -1a Combine like terms: 1a + -1a = 0 15 + -7a = 2 + 0 15 + -7a = 2 Add '-15' to each side of the equation. 15 + -15 + -7a = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -7a = 2 + -15 -7a = 2 + -15 Combine like terms: 2 + -15 = -13 -7a = -13 Divide each side by '-7'. a = 1.857142857 Simplifying a = 1.857142857
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