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Simplifying -85 = -1a + -6(a + 6) Reorder the terms: -85 = -1a + -6(6 + a) -85 = -1a + (6 * -6 + a * -6) -85 = -1a + (-36 + -6a) Reorder the terms: -85 = -36 + -1a + -6a Combine like terms: -1a + -6a = -7a -85 = -36 + -7a Solving -85 = -36 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -85 + 7a = -36 + -7a + 7a Combine like terms: -7a + 7a = 0 -85 + 7a = -36 + 0 -85 + 7a = -36 Add '85' to each side of the equation. -85 + 85 + 7a = -36 + 85 Combine like terms: -85 + 85 = 0 0 + 7a = -36 + 85 7a = -36 + 85 Combine like terms: -36 + 85 = 49 7a = 49 Divide each side by '7'. a = 7 Simplifying a = 7
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