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Simplifying 10y + 7a + 2 + -5a + -7y + 11 = 0 Reorder the terms: 2 + 11 + 7a + -5a + 10y + -7y = 0 Combine like terms: 2 + 11 = 13 13 + 7a + -5a + 10y + -7y = 0 Combine like terms: 7a + -5a = 2a 13 + 2a + 10y + -7y = 0 Combine like terms: 10y + -7y = 3y 13 + 2a + 3y = 0 Solving 13 + 2a + 3y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 2a + -13 + 3y = 0 + -13 Reorder the terms: 13 + -13 + 2a + 3y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2a + 3y = 0 + -13 2a + 3y = 0 + -13 Combine like terms: 0 + -13 = -13 2a + 3y = -13 Add '-3y' to each side of the equation. 2a + 3y + -3y = -13 + -3y Combine like terms: 3y + -3y = 0 2a + 0 = -13 + -3y 2a = -13 + -3y Divide each side by '2'. a = -6.5 + -1.5y Simplifying a = -6.5 + -1.5y
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