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Simplifying 1a + -1(1 + 8a) = -9(a + -6) 1a + (1 * -1 + 8a * -1) = -9(a + -6) 1a + (-1 + -8a) = -9(a + -6) Reorder the terms: -1 + 1a + -8a = -9(a + -6) Combine like terms: 1a + -8a = -7a -1 + -7a = -9(a + -6) Reorder the terms: -1 + -7a = -9(-6 + a) -1 + -7a = (-6 * -9 + a * -9) -1 + -7a = (54 + -9a) Solving -1 + -7a = 54 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -1 + -7a + 9a = 54 + -9a + 9a Combine like terms: -7a + 9a = 2a -1 + 2a = 54 + -9a + 9a Combine like terms: -9a + 9a = 0 -1 + 2a = 54 + 0 -1 + 2a = 54 Add '1' to each side of the equation. -1 + 1 + 2a = 54 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = 54 + 1 2a = 54 + 1 Combine like terms: 54 + 1 = 55 2a = 55 Divide each side by '2'. a = 27.5 Simplifying a = 27.5
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