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Simplifying 6(7a + -6a) = 6(6a + 1) Combine like terms: 7a + -6a = 1a 6(1a) = 6(6a + 1) Remove parenthesis around (1a) 6 * 1a = 6(6a + 1) Multiply 6 * 1 6a = 6(6a + 1) Reorder the terms: 6a = 6(1 + 6a) 6a = (1 * 6 + 6a * 6) 6a = (6 + 36a) Solving 6a = 6 + 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. 6a + -36a = 6 + 36a + -36a Combine like terms: 6a + -36a = -30a -30a = 6 + 36a + -36a Combine like terms: 36a + -36a = 0 -30a = 6 + 0 -30a = 6 Divide each side by '-30'. a = -0.2 Simplifying a = -0.2
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