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Simplifying -6(-1a + 6) = 7a + 2(a + 3) Reorder the terms: -6(6 + -1a) = 7a + 2(a + 3) (6 * -6 + -1a * -6) = 7a + 2(a + 3) (-36 + 6a) = 7a + 2(a + 3) Reorder the terms: -36 + 6a = 7a + 2(3 + a) -36 + 6a = 7a + (3 * 2 + a * 2) -36 + 6a = 7a + (6 + 2a) Reorder the terms: -36 + 6a = 6 + 7a + 2a Combine like terms: 7a + 2a = 9a -36 + 6a = 6 + 9a Solving -36 + 6a = 6 + 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. -36 + 6a + -9a = 6 + 9a + -9a Combine like terms: 6a + -9a = -3a -36 + -3a = 6 + 9a + -9a Combine like terms: 9a + -9a = 0 -36 + -3a = 6 + 0 -36 + -3a = 6 Add '36' to each side of the equation. -36 + 36 + -3a = 6 + 36 Combine like terms: -36 + 36 = 0 0 + -3a = 6 + 36 -3a = 6 + 36 Combine like terms: 6 + 36 = 42 -3a = 42 Divide each side by '-3'. a = -14 Simplifying a = -14
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