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Simplifying 5b + 7a + 15 + -1a + 2b + -10 = 0 Reorder the terms: 15 + -10 + 7a + -1a + 5b + 2b = 0 Combine like terms: 15 + -10 = 5 5 + 7a + -1a + 5b + 2b = 0 Combine like terms: 7a + -1a = 6a 5 + 6a + 5b + 2b = 0 Combine like terms: 5b + 2b = 7b 5 + 6a + 7b = 0 Solving 5 + 6a + 7b = 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 + 6a + -5 + 7b = 0 + -5 Reorder the terms: 5 + -5 + 6a + 7b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6a + 7b = 0 + -5 6a + 7b = 0 + -5 Combine like terms: 0 + -5 = -5 6a + 7b = -5 Add '-7b' to each side of the equation. 6a + 7b + -7b = -5 + -7b Combine like terms: 7b + -7b = 0 6a + 0 = -5 + -7b 6a = -5 + -7b Divide each side by '6'. a = -0.8333333333 + -1.166666667b Simplifying a = -0.8333333333 + -1.166666667b
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