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Simplifying 2a + -1(8a + -1) + -1(a + 2) * 0.5 = 9 Reorder the terms: 2a + -1(-1 + 8a) + -1(a + 2) * 0.5 = 9 2a + (-1 * -1 + 8a * -1) + -1(a + 2) * 0.5 = 9 2a + (1 + -8a) + -1(a + 2) * 0.5 = 9 Reorder the terms: 2a + 1 + -8a + -1(2 + a) * 0.5 = 9 Reorder the terms for easier multiplication: 2a + 1 + -8a + -1 * 0.5(2 + a) = 9 Multiply -1 * 0.5 2a + 1 + -8a + -0.5(2 + a) = 9 2a + 1 + -8a + (2 * -0.5 + a * -0.5) = 9 2a + 1 + -8a + (-1 + -0.5a) = 9 Reorder the terms: 1 + -1 + 2a + -8a + -0.5a = 9 Combine like terms: 1 + -1 = 0 0 + 2a + -8a + -0.5a = 9 2a + -8a + -0.5a = 9 Combine like terms: 2a + -8a = -6a -6a + -0.5a = 9 Combine like terms: -6a + -0.5a = -6.5a -6.5a = 9 Solving -6.5a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '-6.5'. a = -1.384615385 Simplifying a = -1.384615385
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