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Simplifying 6a + 22 = -7(-1 + -1a) + 2a Reorder the terms: 22 + 6a = -7(-1 + -1a) + 2a 22 + 6a = (-1 * -7 + -1a * -7) + 2a 22 + 6a = (7 + 7a) + 2a Combine like terms: 7a + 2a = 9a 22 + 6a = 7 + 9a Solving 22 + 6a = 7 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 22 + 6a + -9a = 7 + 9a + -9a Combine like terms: 6a + -9a = -3a 22 + -3a = 7 + 9a + -9a Combine like terms: 9a + -9a = 0 22 + -3a = 7 + 0 22 + -3a = 7 Add '-22' to each side of the equation. 22 + -22 + -3a = 7 + -22 Combine like terms: 22 + -22 = 0 0 + -3a = 7 + -22 -3a = 7 + -22 Combine like terms: 7 + -22 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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