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Simplifying 35a + 77 = 49a + 14 Reorder the terms: 77 + 35a = 49a + 14 Reorder the terms: 77 + 35a = 14 + 49a Solving 77 + 35a = 14 + 49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49a' to each side of the equation. 77 + 35a + -49a = 14 + 49a + -49a Combine like terms: 35a + -49a = -14a 77 + -14a = 14 + 49a + -49a Combine like terms: 49a + -49a = 0 77 + -14a = 14 + 0 77 + -14a = 14 Add '-77' to each side of the equation. 77 + -77 + -14a = 14 + -77 Combine like terms: 77 + -77 = 0 0 + -14a = 14 + -77 -14a = 14 + -77 Combine like terms: 14 + -77 = -63 -14a = -63 Divide each side by '-14'. a = 4.5 Simplifying a = 4.5
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