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Simplifying 5a + 7b + -2a + 10b + 15 = 0 Reorder the terms: 15 + 5a + -2a + 7b + 10b = 0 Combine like terms: 5a + -2a = 3a 15 + 3a + 7b + 10b = 0 Combine like terms: 7b + 10b = 17b 15 + 3a + 17b = 0 Solving 15 + 3a + 17b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 3a + -15 + 17b = 0 + -15 Reorder the terms: 15 + -15 + 3a + 17b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3a + 17b = 0 + -15 3a + 17b = 0 + -15 Combine like terms: 0 + -15 = -15 3a + 17b = -15 Add '-17b' to each side of the equation. 3a + 17b + -17b = -15 + -17b Combine like terms: 17b + -17b = 0 3a + 0 = -15 + -17b 3a = -15 + -17b Divide each side by '3'. a = -5 + -5.666666667b Simplifying a = -5 + -5.666666667b
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