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Simplifying 23 + -6a = -7(4a + 3) Reorder the terms: 23 + -6a = -7(3 + 4a) 23 + -6a = (3 * -7 + 4a * -7) 23 + -6a = (-21 + -28a) Solving 23 + -6a = -21 + -28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28a' to each side of the equation. 23 + -6a + 28a = -21 + -28a + 28a Combine like terms: -6a + 28a = 22a 23 + 22a = -21 + -28a + 28a Combine like terms: -28a + 28a = 0 23 + 22a = -21 + 0 23 + 22a = -21 Add '-23' to each side of the equation. 23 + -23 + 22a = -21 + -23 Combine like terms: 23 + -23 = 0 0 + 22a = -21 + -23 22a = -21 + -23 Combine like terms: -21 + -23 = -44 22a = -44 Divide each side by '22'. a = -2 Simplifying a = -2
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