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Simplifying 11a + -22 + 13a = -3(1 + -6a) + -1a + -1 Reorder the terms: -22 + 11a + 13a = -3(1 + -6a) + -1a + -1 Combine like terms: 11a + 13a = 24a -22 + 24a = -3(1 + -6a) + -1a + -1 -22 + 24a = (1 * -3 + -6a * -3) + -1a + -1 -22 + 24a = (-3 + 18a) + -1a + -1 Reorder the terms: -22 + 24a = -3 + -1 + 18a + -1a Combine like terms: -3 + -1 = -4 -22 + 24a = -4 + 18a + -1a Combine like terms: 18a + -1a = 17a -22 + 24a = -4 + 17a Solving -22 + 24a = -4 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. -22 + 24a + -17a = -4 + 17a + -17a Combine like terms: 24a + -17a = 7a -22 + 7a = -4 + 17a + -17a Combine like terms: 17a + -17a = 0 -22 + 7a = -4 + 0 -22 + 7a = -4 Add '22' to each side of the equation. -22 + 22 + 7a = -4 + 22 Combine like terms: -22 + 22 = 0 0 + 7a = -4 + 22 7a = -4 + 22 Combine like terms: -4 + 22 = 18 7a = 18 Divide each side by '7'. a = 2.571428571 Simplifying a = 2.571428571
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