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Simplifying 11 + 7a = 6(6a + -3) Reorder the terms: 11 + 7a = 6(-3 + 6a) 11 + 7a = (-3 * 6 + 6a * 6) 11 + 7a = (-18 + 36a) Solving 11 + 7a = -18 + 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. 11 + 7a + -36a = -18 + 36a + -36a Combine like terms: 7a + -36a = -29a 11 + -29a = -18 + 36a + -36a Combine like terms: 36a + -36a = 0 11 + -29a = -18 + 0 11 + -29a = -18 Add '-11' to each side of the equation. 11 + -11 + -29a = -18 + -11 Combine like terms: 11 + -11 = 0 0 + -29a = -18 + -11 -29a = -18 + -11 Combine like terms: -18 + -11 = -29 -29a = -29 Divide each side by '-29'. a = 1 Simplifying a = 1
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