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Simplifying 7a + -3b + 3a + 8b + 5 = 0 Reorder the terms: 5 + 7a + 3a + -3b + 8b = 0 Combine like terms: 7a + 3a = 10a 5 + 10a + -3b + 8b = 0 Combine like terms: -3b + 8b = 5b 5 + 10a + 5b = 0 Solving 5 + 10a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 10a + -5 + 5b = 0 + -5 Reorder the terms: 5 + -5 + 10a + 5b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10a + 5b = 0 + -5 10a + 5b = 0 + -5 Combine like terms: 0 + -5 = -5 10a + 5b = -5 Add '-5b' to each side of the equation. 10a + 5b + -5b = -5 + -5b Combine like terms: 5b + -5b = 0 10a + 0 = -5 + -5b 10a = -5 + -5b Divide each side by '10'. a = -0.5 + -0.5b Simplifying a = -0.5 + -0.5b
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