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Simplifying 2(2a + -3b + -1) + -5(-3a + b + -1) = 0 Reorder the terms: 2(-1 + 2a + -3b) + -5(-3a + b + -1) = 0 (-1 * 2 + 2a * 2 + -3b * 2) + -5(-3a + b + -1) = 0 (-2 + 4a + -6b) + -5(-3a + b + -1) = 0 Reorder the terms: -2 + 4a + -6b + -5(-1 + -3a + b) = 0 -2 + 4a + -6b + (-1 * -5 + -3a * -5 + b * -5) = 0 -2 + 4a + -6b + (5 + 15a + -5b) = 0 Reorder the terms: -2 + 5 + 4a + 15a + -6b + -5b = 0 Combine like terms: -2 + 5 = 3 3 + 4a + 15a + -6b + -5b = 0 Combine like terms: 4a + 15a = 19a 3 + 19a + -6b + -5b = 0 Combine like terms: -6b + -5b = -11b 3 + 19a + -11b = 0 Solving 3 + 19a + -11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 19a + -3 + -11b = 0 + -3 Reorder the terms: 3 + -3 + 19a + -11b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 19a + -11b = 0 + -3 19a + -11b = 0 + -3 Combine like terms: 0 + -3 = -3 19a + -11b = -3 Add '11b' to each side of the equation. 19a + -11b + 11b = -3 + 11b Combine like terms: -11b + 11b = 0 19a + 0 = -3 + 11b 19a = -3 + 11b Divide each side by '19'. a = -0.1578947368 + 0.5789473684b Simplifying a = -0.1578947368 + 0.5789473684b
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