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Simplifying 4a + 5b + -3a + 2b + -8a + 27b + 5(2 + 5) = 0 Combine like terms: 2 + 5 = 7 4a + 5b + -3a + 2b + -8a + 27b + 5(7) = 0 Multiply 5 * 7 4a + 5b + -3a + 2b + -8a + 27b + 35 = 0 Reorder the terms: 35 + 4a + -3a + -8a + 5b + 2b + 27b = 0 Combine like terms: 4a + -3a = 1a 35 + 1a + -8a + 5b + 2b + 27b = 0 Combine like terms: 1a + -8a = -7a 35 + -7a + 5b + 2b + 27b = 0 Combine like terms: 5b + 2b = 7b 35 + -7a + 7b + 27b = 0 Combine like terms: 7b + 27b = 34b 35 + -7a + 34b = 0 Solving 35 + -7a + 34b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -7a + -35 + 34b = 0 + -35 Reorder the terms: 35 + -35 + -7a + 34b = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -7a + 34b = 0 + -35 -7a + 34b = 0 + -35 Combine like terms: 0 + -35 = -35 -7a + 34b = -35 Add '-34b' to each side of the equation. -7a + 34b + -34b = -35 + -34b Combine like terms: 34b + -34b = 0 -7a + 0 = -35 + -34b -7a = -35 + -34b Divide each side by '-7'. a = 5 + 4.857142857b Simplifying a = 5 + 4.857142857b
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