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Simplifying 74(a + 1) = 8 + a Reorder the terms: 74(1 + a) = 8 + a (1 * 74 + a * 74) = 8 + a (74 + 74a) = 8 + a Solving 74 + 74a = 8 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 74 + 74a + -1a = 8 + a + -1a Combine like terms: 74a + -1a = 73a 74 + 73a = 8 + a + -1a Combine like terms: a + -1a = 0 74 + 73a = 8 + 0 74 + 73a = 8 Add '-74' to each side of the equation. 74 + -74 + 73a = 8 + -74 Combine like terms: 74 + -74 = 0 0 + 73a = 8 + -74 73a = 8 + -74 Combine like terms: 8 + -74 = -66 73a = -66 Divide each side by '73'. a = -0.904109589 Simplifying a = -0.904109589
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