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Simplifying 23 + 4a = -7(1 + -2a) 23 + 4a = (1 * -7 + -2a * -7) 23 + 4a = (-7 + 14a) Solving 23 + 4a = -7 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 23 + 4a + -14a = -7 + 14a + -14a Combine like terms: 4a + -14a = -10a 23 + -10a = -7 + 14a + -14a Combine like terms: 14a + -14a = 0 23 + -10a = -7 + 0 23 + -10a = -7 Add '-23' to each side of the equation. 23 + -23 + -10a = -7 + -23 Combine like terms: 23 + -23 = 0 0 + -10a = -7 + -23 -10a = -7 + -23 Combine like terms: -7 + -23 = -30 -10a = -30 Divide each side by '-10'. a = 3 Simplifying a = 3
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