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Simplifying -1(1 + 6a) + -8a = -1a + 38 (1 * -1 + 6a * -1) + -8a = -1a + 38 (-1 + -6a) + -8a = -1a + 38 Combine like terms: -6a + -8a = -14a -1 + -14a = -1a + 38 Reorder the terms: -1 + -14a = 38 + -1a Solving -1 + -14a = 38 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -1 + -14a + a = 38 + -1a + a Combine like terms: -14a + a = -13a -1 + -13a = 38 + -1a + a Combine like terms: -1a + a = 0 -1 + -13a = 38 + 0 -1 + -13a = 38 Add '1' to each side of the equation. -1 + 1 + -13a = 38 + 1 Combine like terms: -1 + 1 = 0 0 + -13a = 38 + 1 -13a = 38 + 1 Combine like terms: 38 + 1 = 39 -13a = 39 Divide each side by '-13'. a = -3 Simplifying a = -3
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