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Simplifying 105a + 189 = 175a + 405 Reorder the terms: 189 + 105a = 175a + 405 Reorder the terms: 189 + 105a = 405 + 175a Solving 189 + 105a = 405 + 175a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-175a' to each side of the equation. 189 + 105a + -175a = 405 + 175a + -175a Combine like terms: 105a + -175a = -70a 189 + -70a = 405 + 175a + -175a Combine like terms: 175a + -175a = 0 189 + -70a = 405 + 0 189 + -70a = 405 Add '-189' to each side of the equation. 189 + -189 + -70a = 405 + -189 Combine like terms: 189 + -189 = 0 0 + -70a = 405 + -189 -70a = 405 + -189 Combine like terms: 405 + -189 = 216 -70a = 216 Divide each side by '-70'. a = -3.085714286 Simplifying a = -3.085714286
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