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Simplifying 7(6 + -2a) = (3a + 1) (6 * 7 + -2a * 7) = (3a + 1) (42 + -14a) = (3a + 1) Reorder the terms: 42 + -14a = (1 + 3a) Remove parenthesis around (1 + 3a) 42 + -14a = 1 + 3a Solving 42 + -14a = 1 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 42 + -14a + -3a = 1 + 3a + -3a Combine like terms: -14a + -3a = -17a 42 + -17a = 1 + 3a + -3a Combine like terms: 3a + -3a = 0 42 + -17a = 1 + 0 42 + -17a = 1 Add '-42' to each side of the equation. 42 + -42 + -17a = 1 + -42 Combine like terms: 42 + -42 = 0 0 + -17a = 1 + -42 -17a = 1 + -42 Combine like terms: 1 + -42 = -41 -17a = -41 Divide each side by '-17'. a = 2.411764706 Simplifying a = 2.411764706
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