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Simplifying (4a + -6b2 + 8) + (9b2 + -10a + -1) = 0 Reorder the terms: (8 + 4a + -6b2) + (9b2 + -10a + -1) = 0 Remove parenthesis around (8 + 4a + -6b2) 8 + 4a + -6b2 + (9b2 + -10a + -1) = 0 Reorder the terms: 8 + 4a + -6b2 + (-1 + -10a + 9b2) = 0 Remove parenthesis around (-1 + -10a + 9b2) 8 + 4a + -6b2 + -1 + -10a + 9b2 = 0 Reorder the terms: 8 + -1 + 4a + -10a + -6b2 + 9b2 = 0 Combine like terms: 8 + -1 = 7 7 + 4a + -10a + -6b2 + 9b2 = 0 Combine like terms: 4a + -10a = -6a 7 + -6a + -6b2 + 9b2 = 0 Combine like terms: -6b2 + 9b2 = 3b2 7 + -6a + 3b2 = 0 Solving 7 + -6a + 3b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -6a + -7 + 3b2 = 0 + -7 Reorder the terms: 7 + -7 + -6a + 3b2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6a + 3b2 = 0 + -7 -6a + 3b2 = 0 + -7 Combine like terms: 0 + -7 = -7 -6a + 3b2 = -7 Add '-3b2' to each side of the equation. -6a + 3b2 + -3b2 = -7 + -3b2 Combine like terms: 3b2 + -3b2 = 0 -6a + 0 = -7 + -3b2 -6a = -7 + -3b2 Divide each side by '-6'. a = 1.166666667 + 0.5b2 Simplifying a = 1.166666667 + 0.5b2
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