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