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Simplifying -9a + -4 + -1a + 7 = 17 + -10a + -4a + 6 Reorder the terms: -4 + 7 + -9a + -1a = 17 + -10a + -4a + 6 Combine like terms: -4 + 7 = 3 3 + -9a + -1a = 17 + -10a + -4a + 6 Combine like terms: -9a + -1a = -10a 3 + -10a = 17 + -10a + -4a + 6 Reorder the terms: 3 + -10a = 17 + 6 + -10a + -4a Combine like terms: 17 + 6 = 23 3 + -10a = 23 + -10a + -4a Combine like terms: -10a + -4a = -14a 3 + -10a = 23 + -14a Solving 3 + -10a = 23 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. 3 + -10a + 14a = 23 + -14a + 14a Combine like terms: -10a + 14a = 4a 3 + 4a = 23 + -14a + 14a Combine like terms: -14a + 14a = 0 3 + 4a = 23 + 0 3 + 4a = 23 Add '-3' to each side of the equation. 3 + -3 + 4a = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 4a = 23 + -3 4a = 23 + -3 Combine like terms: 23 + -3 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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