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Simplifying 5a + -7y + -8c + 6a + 14 + -11y + -3 = 0 Reorder the terms: 14 + -3 + 5a + 6a + -8c + -7y + -11y = 0 Combine like terms: 14 + -3 = 11 11 + 5a + 6a + -8c + -7y + -11y = 0 Combine like terms: 5a + 6a = 11a 11 + 11a + -8c + -7y + -11y = 0 Combine like terms: -7y + -11y = -18y 11 + 11a + -8c + -18y = 0 Solving 11 + 11a + -8c + -18y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 11a + -8c + -11 + -18y = 0 + -11 Reorder the terms: 11 + -11 + 11a + -8c + -18y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 11a + -8c + -18y = 0 + -11 11a + -8c + -18y = 0 + -11 Combine like terms: 0 + -11 = -11 11a + -8c + -18y = -11 Add '8c' to each side of the equation. 11a + -8c + 8c + -18y = -11 + 8c Combine like terms: -8c + 8c = 0 11a + 0 + -18y = -11 + 8c 11a + -18y = -11 + 8c Add '18y' to each side of the equation. 11a + -18y + 18y = -11 + 8c + 18y Combine like terms: -18y + 18y = 0 11a + 0 = -11 + 8c + 18y 11a = -11 + 8c + 18y Divide each side by '11'. a = -1 + 0.7272727273c + 1.636363636y Simplifying a = -1 + 0.7272727273c + 1.636363636y
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