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Simplifying 2a + 2 = 1(4a + 1) Reorder the terms: 2 + 2a = 1(4a + 1) Reorder the terms: 2 + 2a = 1(1 + 4a) 2 + 2a = (1 * 1 + 4a * 1) 2 + 2a = (1 + 4a) Solving 2 + 2a = 1 + 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. 2 + 2a + -4a = 1 + 4a + -4a Combine like terms: 2a + -4a = -2a 2 + -2a = 1 + 4a + -4a Combine like terms: 4a + -4a = 0 2 + -2a = 1 + 0 2 + -2a = 1 Add '-2' to each side of the equation. 2 + -2 + -2a = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -2a = 1 + -2 -2a = 1 + -2 Combine like terms: 1 + -2 = -1 -2a = -1 Divide each side by '-2'. a = 0.5 Simplifying a = 0.5
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