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Simplifying 5a + 12d + -19a + -11d + -1a = 0 Reorder the terms: 5a + -19a + -1a + 12d + -11d = 0 Combine like terms: 5a + -19a = -14a -14a + -1a + 12d + -11d = 0 Combine like terms: -14a + -1a = -15a -15a + 12d + -11d = 0 Combine like terms: 12d + -11d = 1d -15a + 1d = 0 Solving -15a + 1d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1d' to each side of the equation. -15a + 1d + -1d = 0 + -1d Combine like terms: 1d + -1d = 0 -15a + 0 = 0 + -1d -15a = 0 + -1d Remove the zero: -15a = -1d Divide each side by '-15'. a = 0.06666666667d Simplifying a = 0.06666666667d
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