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Simplifying 10a + -7a + (-1b) + 10a + -9b + 5 = 0 Reorder the terms: 5 + 10a + -7a + 10a + (-1b) + -9b = 0 Combine like terms: 10a + -7a = 3a 5 + 3a + 10a + (-1b) + -9b = 0 Combine like terms: 3a + 10a = 13a 5 + 13a + (-1b) + -9b = 0 Combine like terms: (-1b) + -9b = -10b 5 + 13a + -10b = 0 Solving 5 + 13a + -10b = 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 + 13a + -5 + -10b = 0 + -5 Reorder the terms: 5 + -5 + 13a + -10b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 13a + -10b = 0 + -5 13a + -10b = 0 + -5 Combine like terms: 0 + -5 = -5 13a + -10b = -5 Add '10b' to each side of the equation. 13a + -10b + 10b = -5 + 10b Combine like terms: -10b + 10b = 0 13a + 0 = -5 + 10b 13a = -5 + 10b Divide each side by '13'. a = -0.3846153846 + 0.7692307692b Simplifying a = -0.3846153846 + 0.7692307692b
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