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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 = -2 -2 + 2a + -8a + -0.5a = 9 Combine like terms: 2a + -8a = -6a -2 + -6a + -0.5a = 9 Combine like terms: -6a + -0.5a = -6.5a -2 + -6.5a = 9 Solving -2 + -6.5a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -6.5a = 9 + 2 Combine like terms: -2 + 2 = 0 0 + -6.5a = 9 + 2 -6.5a = 9 + 2 Combine like terms: 9 + 2 = 11 -6.5a = 11 Divide each side by '-6.5'. a = -1.692307692 Simplifying a = -1.692307692
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