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Simplifying 2(a + -1b) + 5(a + b) = 13 (a * 2 + -1b * 2) + 5(a + b) = 13 (2a + -2b) + 5(a + b) = 13 2a + -2b + (a * 5 + b * 5) = 13 2a + -2b + (5a + 5b) = 13 Reorder the terms: 2a + 5a + -2b + 5b = 13 Combine like terms: 2a + 5a = 7a 7a + -2b + 5b = 13 Combine like terms: -2b + 5b = 3b 7a + 3b = 13 Solving 7a + 3b = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 7a + 3b + -3b = 13 + -3b Combine like terms: 3b + -3b = 0 7a + 0 = 13 + -3b 7a = 13 + -3b Divide each side by '7'. a = 1.857142857 + -0.4285714286b Simplifying a = 1.857142857 + -0.4285714286b
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