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Simplifying 16a + 7c + 5 + -7a + 1 = 22 Reorder the terms: 5 + 1 + 16a + -7a + 7c = 22 Combine like terms: 5 + 1 = 6 6 + 16a + -7a + 7c = 22 Combine like terms: 16a + -7a = 9a 6 + 9a + 7c = 22 Solving 6 + 9a + 7c = 22 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 9a + -6 + 7c = 22 + -6 Reorder the terms: 6 + -6 + 9a + 7c = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 9a + 7c = 22 + -6 9a + 7c = 22 + -6 Combine like terms: 22 + -6 = 16 9a + 7c = 16 Add '-7c' to each side of the equation. 9a + 7c + -7c = 16 + -7c Combine like terms: 7c + -7c = 0 9a + 0 = 16 + -7c 9a = 16 + -7c Divide each side by '9'. a = 1.777777778 + -0.7777777778c Simplifying a = 1.777777778 + -0.7777777778c
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