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Simplifying 228 = -7a + 4(-5a + 3) Reorder the terms: 228 = -7a + 4(3 + -5a) 228 = -7a + (3 * 4 + -5a * 4) 228 = -7a + (12 + -20a) Reorder the terms: 228 = 12 + -7a + -20a Combine like terms: -7a + -20a = -27a 228 = 12 + -27a Solving 228 = 12 + -27a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27a' to each side of the equation. 228 + 27a = 12 + -27a + 27a Combine like terms: -27a + 27a = 0 228 + 27a = 12 + 0 228 + 27a = 12 Add '-228' to each side of the equation. 228 + -228 + 27a = 12 + -228 Combine like terms: 228 + -228 = 0 0 + 27a = 12 + -228 27a = 12 + -228 Combine like terms: 12 + -228 = -216 27a = -216 Divide each side by '27'. a = -8 Simplifying a = -8
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