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Simplifying 2(5a + 1) = 2(a + 1) Reorder the terms: 2(1 + 5a) = 2(a + 1) (1 * 2 + 5a * 2) = 2(a + 1) (2 + 10a) = 2(a + 1) Reorder the terms: 2 + 10a = 2(1 + a) 2 + 10a = (1 * 2 + a * 2) 2 + 10a = (2 + 2a) Add '-2' to each side of the equation. 2 + -2 + 10a = 2 + -2 + 2a Combine like terms: 2 + -2 = 0 0 + 10a = 2 + -2 + 2a 10a = 2 + -2 + 2a Combine like terms: 2 + -2 = 0 10a = 0 + 2a 10a = 2a Solving 10a = 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. 10a + -2a = 2a + -2a Combine like terms: 10a + -2a = 8a 8a = 2a + -2a Combine like terms: 2a + -2a = 0 8a = 0 Divide each side by '8'. a = 0 Simplifying a = 0
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