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Simplifying 2(5a + 1) = 2a + 1 Reorder the terms: 2(1 + 5a) = 2a + 1 (1 * 2 + 5a * 2) = 2a + 1 (2 + 10a) = 2a + 1 Reorder the terms: 2 + 10a = 1 + 2a Solving 2 + 10a = 1 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 2 + 10a + -2a = 1 + 2a + -2a Combine like terms: 10a + -2a = 8a 2 + 8a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 2 + 8a = 1 + 0 2 + 8a = 1 Add '-2' to each side of the equation. 2 + -2 + 8a = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 8a = 1 + -2 8a = 1 + -2 Combine like terms: 1 + -2 = -1 8a = -1 Divide each side by '8'. a = -0.125 Simplifying a = -0.125
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