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Simplifying 7(5 + 4a) = 33 + 11a (5 * 7 + 4a * 7) = 33 + 11a (35 + 28a) = 33 + 11a Solving 35 + 28a = 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. 35 + 28a + -11a = 33 + 11a + -11a Combine like terms: 28a + -11a = 17a 35 + 17a = 33 + 11a + -11a Combine like terms: 11a + -11a = 0 35 + 17a = 33 + 0 35 + 17a = 33 Add '-35' to each side of the equation. 35 + -35 + 17a = 33 + -35 Combine like terms: 35 + -35 = 0 0 + 17a = 33 + -35 17a = 33 + -35 Combine like terms: 33 + -35 = -2 17a = -2 Divide each side by '17'. a = -0.1176470588 Simplifying a = -0.1176470588
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