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Simplifying -23 + 3a = 4(2a + 3) Reorder the terms: -23 + 3a = 4(3 + 2a) -23 + 3a = (3 * 4 + 2a * 4) -23 + 3a = (12 + 8a) Solving -23 + 3a = 12 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -23 + 3a + -8a = 12 + 8a + -8a Combine like terms: 3a + -8a = -5a -23 + -5a = 12 + 8a + -8a Combine like terms: 8a + -8a = 0 -23 + -5a = 12 + 0 -23 + -5a = 12 Add '23' to each side of the equation. -23 + 23 + -5a = 12 + 23 Combine like terms: -23 + 23 = 0 0 + -5a = 12 + 23 -5a = 12 + 23 Combine like terms: 12 + 23 = 35 -5a = 35 Divide each side by '-5'. a = -7 Simplifying a = -7
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