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Simplifying 228 = 6(8 + 5a) 228 = (8 * 6 + 5a * 6) 228 = (48 + 30a) Solving 228 = 48 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. 228 + -30a = 48 + 30a + -30a Combine like terms: 30a + -30a = 0 228 + -30a = 48 + 0 228 + -30a = 48 Add '-228' to each side of the equation. 228 + -228 + -30a = 48 + -228 Combine like terms: 228 + -228 = 0 0 + -30a = 48 + -228 -30a = 48 + -228 Combine like terms: 48 + -228 = -180 -30a = -180 Divide each side by '-30'. a = 6 Simplifying a = 6
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