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Simplifying 3(2 + 5a) = -22 + 6a (2 * 3 + 5a * 3) = -22 + 6a (6 + 15a) = -22 + 6a Solving 6 + 15a = -22 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 6 + 15a + -6a = -22 + 6a + -6a Combine like terms: 15a + -6a = 9a 6 + 9a = -22 + 6a + -6a Combine like terms: 6a + -6a = 0 6 + 9a = -22 + 0 6 + 9a = -22 Add '-6' to each side of the equation. 6 + -6 + 9a = -22 + -6 Combine like terms: 6 + -6 = 0 0 + 9a = -22 + -6 9a = -22 + -6 Combine like terms: -22 + -6 = -28 9a = -28 Divide each side by '9'. a = -3.111111111 Simplifying a = -3.111111111
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