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Simplifying a * 11 + 28 = a * 3 + 140 Reorder the terms for easier multiplication: 11a + 28 = a * 3 + 140 Reorder the terms: 28 + 11a = a * 3 + 140 Reorder the terms for easier multiplication: 28 + 11a = 3a + 140 Reorder the terms: 28 + 11a = 140 + 3a Solving 28 + 11a = 140 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 28 + 11a + -3a = 140 + 3a + -3a Combine like terms: 11a + -3a = 8a 28 + 8a = 140 + 3a + -3a Combine like terms: 3a + -3a = 0 28 + 8a = 140 + 0 28 + 8a = 140 Add '-28' to each side of the equation. 28 + -28 + 8a = 140 + -28 Combine like terms: 28 + -28 = 0 0 + 8a = 140 + -28 8a = 140 + -28 Combine like terms: 140 + -28 = 112 8a = 112 Divide each side by '8'. a = 14 Simplifying a = 14
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