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Simplifying 10 * 4a + 1 = 1 * 4a + 2 Multiply 10 * 4 40a + 1 = 1 * 4a + 2 Reorder the terms: 1 + 40a = 1 * 4a + 2 Multiply 1 * 4 1 + 40a = 4a + 2 Reorder the terms: 1 + 40a = 2 + 4a Solving 1 + 40a = 2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 1 + 40a + -4a = 2 + 4a + -4a Combine like terms: 40a + -4a = 36a 1 + 36a = 2 + 4a + -4a Combine like terms: 4a + -4a = 0 1 + 36a = 2 + 0 1 + 36a = 2 Add '-1' to each side of the equation. 1 + -1 + 36a = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 36a = 2 + -1 36a = 2 + -1 Combine like terms: 2 + -1 = 1 36a = 1 Divide each side by '36'. a = 0.02777777778 Simplifying a = 0.02777777778
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