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Simplifying 208 = 8(1 + 5a) 208 = (1 * 8 + 5a * 8) 208 = (8 + 40a) Solving 208 = 8 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 208 + -40a = 8 + 40a + -40a Combine like terms: 40a + -40a = 0 208 + -40a = 8 + 0 208 + -40a = 8 Add '-208' to each side of the equation. 208 + -208 + -40a = 8 + -208 Combine like terms: 208 + -208 = 0 0 + -40a = 8 + -208 -40a = 8 + -208 Combine like terms: 8 + -208 = -200 -40a = -200 Divide each side by '-40'. a = 5 Simplifying a = 5
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