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Simplifying 1 = 0.5(8a + 2) Reorder the terms: 1 = 0.5(2 + 8a) 1 = (2 * 0.5 + 8a * 0.5) 1 = (1 + 4a) Add '-1' to each side of the equation. 1 + -1 = 1 + -1 + 4a Combine like terms: 1 + -1 = 0 0 = 1 + -1 + 4a Combine like terms: 1 + -1 = 0 0 = 0 + 4a 0 = 4a Solving 0 = 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. 0 + -4a = 4a + -4a Remove the zero: -4a = 4a + -4a Combine like terms: 4a + -4a = 0 -4a = 0 Divide each side by '-4'. a = 0 Simplifying a = 0
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