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Simplifying 6(a + 3) = 11(a + 5) Reorder the terms: 6(3 + a) = 11(a + 5) (3 * 6 + a * 6) = 11(a + 5) (18 + 6a) = 11(a + 5) Reorder the terms: 18 + 6a = 11(5 + a) 18 + 6a = (5 * 11 + a * 11) 18 + 6a = (55 + 11a) Solving 18 + 6a = 55 + 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. 18 + 6a + -11a = 55 + 11a + -11a Combine like terms: 6a + -11a = -5a 18 + -5a = 55 + 11a + -11a Combine like terms: 11a + -11a = 0 18 + -5a = 55 + 0 18 + -5a = 55 Add '-18' to each side of the equation. 18 + -18 + -5a = 55 + -18 Combine like terms: 18 + -18 = 0 0 + -5a = 55 + -18 -5a = 55 + -18 Combine like terms: 55 + -18 = 37 -5a = 37 Divide each side by '-5'. a = -7.4 Simplifying a = -7.4
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