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Simplifying a + 32 + 45 = 15a + -44 Reorder the terms: 32 + 45 + a = 15a + -44 Combine like terms: 32 + 45 = 77 77 + a = 15a + -44 Reorder the terms: 77 + a = -44 + 15a Solving 77 + a = -44 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 77 + a + -15a = -44 + 15a + -15a Combine like terms: a + -15a = -14a 77 + -14a = -44 + 15a + -15a Combine like terms: 15a + -15a = 0 77 + -14a = -44 + 0 77 + -14a = -44 Add '-77' to each side of the equation. 77 + -77 + -14a = -44 + -77 Combine like terms: 77 + -77 = 0 0 + -14a = -44 + -77 -14a = -44 + -77 Combine like terms: -44 + -77 = -121 -14a = -121 Divide each side by '-14'. a = 8.642857143 Simplifying a = 8.642857143
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