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Simplifying (10a + 8b2 + -7) + (-11a + -3b2 + 12) = 0 Reorder the terms: (-7 + 10a + 8b2) + (-11a + -3b2 + 12) = 0 Remove parenthesis around (-7 + 10a + 8b2) -7 + 10a + 8b2 + (-11a + -3b2 + 12) = 0 Reorder the terms: -7 + 10a + 8b2 + (12 + -11a + -3b2) = 0 Remove parenthesis around (12 + -11a + -3b2) -7 + 10a + 8b2 + 12 + -11a + -3b2 = 0 Reorder the terms: -7 + 12 + 10a + -11a + 8b2 + -3b2 = 0 Combine like terms: -7 + 12 = 5 5 + 10a + -11a + 8b2 + -3b2 = 0 Combine like terms: 10a + -11a = -1a 5 + -1a + 8b2 + -3b2 = 0 Combine like terms: 8b2 + -3b2 = 5b2 5 + -1a + 5b2 = 0 Solving 5 + -1a + 5b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -1a + -5 + 5b2 = 0 + -5 Reorder the terms: 5 + -5 + -1a + 5b2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a + 5b2 = 0 + -5 -1a + 5b2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1a + 5b2 = -5 Add '-5b2' to each side of the equation. -1a + 5b2 + -5b2 = -5 + -5b2 Combine like terms: 5b2 + -5b2 = 0 -1a + 0 = -5 + -5b2 -1a = -5 + -5b2 Divide each side by '-1'. a = 5 + 5b2 Simplifying a = 5 + 5b2
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