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Simplifying -1(7 + -1a) = -6 + 6(-6a + 6) (7 * -1 + -1a * -1) = -6 + 6(-6a + 6) (-7 + 1a) = -6 + 6(-6a + 6) Reorder the terms: -7 + 1a = -6 + 6(6 + -6a) -7 + 1a = -6 + (6 * 6 + -6a * 6) -7 + 1a = -6 + (36 + -36a) Combine like terms: -6 + 36 = 30 -7 + 1a = 30 + -36a Solving -7 + 1a = 30 + -36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36a' to each side of the equation. -7 + 1a + 36a = 30 + -36a + 36a Combine like terms: 1a + 36a = 37a -7 + 37a = 30 + -36a + 36a Combine like terms: -36a + 36a = 0 -7 + 37a = 30 + 0 -7 + 37a = 30 Add '7' to each side of the equation. -7 + 7 + 37a = 30 + 7 Combine like terms: -7 + 7 = 0 0 + 37a = 30 + 7 37a = 30 + 7 Combine like terms: 30 + 7 = 37 37a = 37 Divide each side by '37'. a = 1 Simplifying a = 1
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