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Simplifying -9a + -1[2(1 + 3a) + 6] = 5a -9a + -1[(1 * 2 + 3a * 2) + 6] = 5a -9a + -1[(2 + 6a) + 6] = 5a Reorder the terms: -9a + -1[2 + 6 + 6a] = 5a Combine like terms: 2 + 6 = 8 -9a + -1[8 + 6a] = 5a -9a + [8 * -1 + 6a * -1] = 5a -9a + [-8 + -6a] = 5a Reorder the terms: -8 + -9a + -6a = 5a Combine like terms: -9a + -6a = -15a -8 + -15a = 5a Solving -8 + -15a = 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -8 + -15a + -5a = 5a + -5a Combine like terms: -15a + -5a = -20a -8 + -20a = 5a + -5a Combine like terms: 5a + -5a = 0 -8 + -20a = 0 Add '8' to each side of the equation. -8 + 8 + -20a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -20a = 0 + 8 -20a = 0 + 8 Combine like terms: 0 + 8 = 8 -20a = 8 Divide each side by '-20'. a = -0.4 Simplifying a = -0.4
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