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Simplifying (a2 + 16 + 8a) + -1(a2 + 25 + -10a) = 9 Reorder the terms: (16 + 8a + a2) + -1(a2 + 25 + -10a) = 9 Remove parenthesis around (16 + 8a + a2) 16 + 8a + a2 + -1(a2 + 25 + -10a) = 9 Reorder the terms: 16 + 8a + a2 + -1(25 + -10a + a2) = 9 16 + 8a + a2 + (25 * -1 + -10a * -1 + a2 * -1) = 9 16 + 8a + a2 + (-25 + 10a + -1a2) = 9 Reorder the terms: 16 + -25 + 8a + 10a + a2 + -1a2 = 9 Combine like terms: 16 + -25 = -9 -9 + 8a + 10a + a2 + -1a2 = 9 Combine like terms: 8a + 10a = 18a -9 + 18a + a2 + -1a2 = 9 Combine like terms: a2 + -1a2 = 0 -9 + 18a + 0 = 9 -9 + 18a = 9 Solving -9 + 18a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 18a = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 18a = 9 + 9 18a = 9 + 9 Combine like terms: 9 + 9 = 18 18a = 18 Divide each side by '18'. a = 1 Simplifying a = 1
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