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Simplifying 6(a + 2) = 11(a + 3) Reorder the terms: 6(2 + a) = 11(a + 3) (2 * 6 + a * 6) = 11(a + 3) (12 + 6a) = 11(a + 3) Reorder the terms: 12 + 6a = 11(3 + a) 12 + 6a = (3 * 11 + a * 11) 12 + 6a = (33 + 11a) Solving 12 + 6a = 33 + 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. 12 + 6a + -11a = 33 + 11a + -11a Combine like terms: 6a + -11a = -5a 12 + -5a = 33 + 11a + -11a Combine like terms: 11a + -11a = 0 12 + -5a = 33 + 0 12 + -5a = 33 Add '-12' to each side of the equation. 12 + -12 + -5a = 33 + -12 Combine like terms: 12 + -12 = 0 0 + -5a = 33 + -12 -5a = 33 + -12 Combine like terms: 33 + -12 = 21 -5a = 21 Divide each side by '-5'. a = -4.2 Simplifying a = -4.2
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