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Simplifying 6(7a + 2) = 12 + -1a Reorder the terms: 6(2 + 7a) = 12 + -1a (2 * 6 + 7a * 6) = 12 + -1a (12 + 42a) = 12 + -1a Add '-12' to each side of the equation. 12 + -12 + 42a = 12 + -12 + -1a Combine like terms: 12 + -12 = 0 0 + 42a = 12 + -12 + -1a 42a = 12 + -12 + -1a Combine like terms: 12 + -12 = 0 42a = 0 + -1a 42a = -1a Solving 42a = -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. 42a + a = -1a + a Combine like terms: 42a + a = 43a 43a = -1a + a Combine like terms: -1a + a = 0 43a = 0 Divide each side by '43'. a = 0 Simplifying a = 0
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