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Simplifying 10 + 5a + -3b + -7a + 13 + 5b = 0 Reorder the terms: 10 + 13 + 5a + -7a + -3b + 5b = 0 Combine like terms: 10 + 13 = 23 23 + 5a + -7a + -3b + 5b = 0 Combine like terms: 5a + -7a = -2a 23 + -2a + -3b + 5b = 0 Combine like terms: -3b + 5b = 2b 23 + -2a + 2b = 0 Solving 23 + -2a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -2a + -23 + 2b = 0 + -23 Reorder the terms: 23 + -23 + -2a + 2b = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -2a + 2b = 0 + -23 -2a + 2b = 0 + -23 Combine like terms: 0 + -23 = -23 -2a + 2b = -23 Add '-2b' to each side of the equation. -2a + 2b + -2b = -23 + -2b Combine like terms: 2b + -2b = 0 -2a + 0 = -23 + -2b -2a = -23 + -2b Divide each side by '-2'. a = 11.5 + b Simplifying a = 11.5 + b
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