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Simplifying 10 + -5 + 2 + 8a + 8a + 7c = 0 Combine like terms: 10 + -5 = 5 5 + 2 + 8a + 8a + 7c = 0 Combine like terms: 5 + 2 = 7 7 + 8a + 8a + 7c = 0 Combine like terms: 8a + 8a = 16a 7 + 16a + 7c = 0 Solving 7 + 16a + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 16a + -7 + 7c = 0 + -7 Reorder the terms: 7 + -7 + 16a + 7c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 16a + 7c = 0 + -7 16a + 7c = 0 + -7 Combine like terms: 0 + -7 = -7 16a + 7c = -7 Add '-7c' to each side of the equation. 16a + 7c + -7c = -7 + -7c Combine like terms: 7c + -7c = 0 16a + 0 = -7 + -7c 16a = -7 + -7c Divide each side by '16'. a = -0.4375 + -0.4375c Simplifying a = -0.4375 + -0.4375c
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