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Simplifying 3(2a + 1) = 11(a + -2) Reorder the terms: 3(1 + 2a) = 11(a + -2) (1 * 3 + 2a * 3) = 11(a + -2) (3 + 6a) = 11(a + -2) Reorder the terms: 3 + 6a = 11(-2 + a) 3 + 6a = (-2 * 11 + a * 11) 3 + 6a = (-22 + 11a) Solving 3 + 6a = -22 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 3 + 6a + -11a = -22 + 11a + -11a Combine like terms: 6a + -11a = -5a 3 + -5a = -22 + 11a + -11a Combine like terms: 11a + -11a = 0 3 + -5a = -22 + 0 3 + -5a = -22 Add '-3' to each side of the equation. 3 + -3 + -5a = -22 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = -22 + -3 -5a = -22 + -3 Combine like terms: -22 + -3 = -25 -5a = -25 Divide each side by '-5'. a = 5 Simplifying a = 5
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