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Simplifying 7(6 + -2a) = 5c + -3a + 1 (6 * 7 + -2a * 7) = 5c + -3a + 1 (42 + -14a) = 5c + -3a + 1 Reorder the terms: 42 + -14a = 1 + -3a + 5c Solving 42 + -14a = 1 + -3a + 5c 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 + 5c Combine like terms: -14a + 3a = -11a 42 + -11a = 1 + -3a + 3a + 5c Combine like terms: -3a + 3a = 0 42 + -11a = 1 + 0 + 5c 42 + -11a = 1 + 5c Add '-42' to each side of the equation. 42 + -42 + -11a = 1 + -42 + 5c Combine like terms: 42 + -42 = 0 0 + -11a = 1 + -42 + 5c -11a = 1 + -42 + 5c Combine like terms: 1 + -42 = -41 -11a = -41 + 5c Divide each side by '-11'. a = 3.727272727 + -0.4545454545c Simplifying a = 3.727272727 + -0.4545454545c
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