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Simplifying a(6 + -1) + 3b + -1b(2 + -1) + 10 = 0 Combine like terms: 6 + -1 = 5 a(5) + 3b + -1b(2 + -1) + 10 = 0 Reorder the terms for easier multiplication: 5a + 3b + -1b(2 + -1) + 10 = 0 Combine like terms: 2 + -1 = 1 5a + 3b + -1b(1) + 10 = 0 Reorder the terms for easier multiplication: 5a + 3b + -1 * 1b + 10 = 0 Multiply -1 * 1 5a + 3b + -1b + 10 = 0 Reorder the terms: 10 + 5a + 3b + -1b = 0 Combine like terms: 3b + -1b = 2b 10 + 5a + 2b = 0 Solving 10 + 5a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5a + -10 + 2b = 0 + -10 Reorder the terms: 10 + -10 + 5a + 2b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5a + 2b = 0 + -10 5a + 2b = 0 + -10 Combine like terms: 0 + -10 = -10 5a + 2b = -10 Add '-2b' to each side of the equation. 5a + 2b + -2b = -10 + -2b Combine like terms: 2b + -2b = 0 5a + 0 = -10 + -2b 5a = -10 + -2b Divide each side by '5'. a = -2 + -0.4b Simplifying a = -2 + -0.4b
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