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Simplifying (10a2 + 2a + -8) + -1(10a2 + 8) = 0 Reorder the terms: (-8 + 2a + 10a2) + -1(10a2 + 8) = 0 Remove parenthesis around (-8 + 2a + 10a2) -8 + 2a + 10a2 + -1(10a2 + 8) = 0 Reorder the terms: -8 + 2a + 10a2 + -1(8 + 10a2) = 0 -8 + 2a + 10a2 + (8 * -1 + 10a2 * -1) = 0 -8 + 2a + 10a2 + (-8 + -10a2) = 0 Reorder the terms: -8 + -8 + 2a + 10a2 + -10a2 = 0 Combine like terms: -8 + -8 = -16 -16 + 2a + 10a2 + -10a2 = 0 Combine like terms: 10a2 + -10a2 = 0 -16 + 2a + 0 = 0 -16 + 2a = 0 Solving -16 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2a = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2a = 0 + 16 2a = 0 + 16 Combine like terms: 0 + 16 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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