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Simplifying -2(-6 + -7a) + 6 = 4(a + 2) (-6 * -2 + -7a * -2) + 6 = 4(a + 2) (12 + 14a) + 6 = 4(a + 2) Reorder the terms: 12 + 6 + 14a = 4(a + 2) Combine like terms: 12 + 6 = 18 18 + 14a = 4(a + 2) Reorder the terms: 18 + 14a = 4(2 + a) 18 + 14a = (2 * 4 + a * 4) 18 + 14a = (8 + 4a) Solving 18 + 14a = 8 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 18 + 14a + -4a = 8 + 4a + -4a Combine like terms: 14a + -4a = 10a 18 + 10a = 8 + 4a + -4a Combine like terms: 4a + -4a = 0 18 + 10a = 8 + 0 18 + 10a = 8 Add '-18' to each side of the equation. 18 + -18 + 10a = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 10a = 8 + -18 10a = 8 + -18 Combine like terms: 8 + -18 = -10 10a = -10 Divide each side by '10'. a = -1 Simplifying a = -1
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