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Simplifying -1(5x + 17a + -6) + -1(-42a + -5x) = 0 Reorder the terms: -1(-6 + 17a + 5x) + -1(-42a + -5x) = 0 (-6 * -1 + 17a * -1 + 5x * -1) + -1(-42a + -5x) = 0 (6 + -17a + -5x) + -1(-42a + -5x) = 0 6 + -17a + -5x + (-42a * -1 + -5x * -1) = 0 6 + -17a + -5x + (42a + 5x) = 0 Reorder the terms: 6 + -17a + 42a + -5x + 5x = 0 Combine like terms: -17a + 42a = 25a 6 + 25a + -5x + 5x = 0 Combine like terms: -5x + 5x = 0 6 + 25a + 0 = 0 6 + 25a = 0 Solving 6 + 25a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 25a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 25a = 0 + -6 25a = 0 + -6 Combine like terms: 0 + -6 = -6 25a = -6 Divide each side by '25'. a = -0.24 Simplifying a = -0.24
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