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Simplifying 4(2a + 3) = 23 + -2a Reorder the terms: 4(3 + 2a) = 23 + -2a (3 * 4 + 2a * 4) = 23 + -2a (12 + 8a) = 23 + -2a Solving 12 + 8a = 23 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 12 + 8a + 2a = 23 + -2a + 2a Combine like terms: 8a + 2a = 10a 12 + 10a = 23 + -2a + 2a Combine like terms: -2a + 2a = 0 12 + 10a = 23 + 0 12 + 10a = 23 Add '-12' to each side of the equation. 12 + -12 + 10a = 23 + -12 Combine like terms: 12 + -12 = 0 0 + 10a = 23 + -12 10a = 23 + -12 Combine like terms: 23 + -12 = 11 10a = 11 Divide each side by '10'. a = 1.1 Simplifying a = 1.1
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