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Simplifying 6 + -1(5 + -33a) = 55a + -9 6 + (5 * -1 + -33a * -1) = 55a + -9 6 + (-5 + 33a) = 55a + -9 Combine like terms: 6 + -5 = 1 1 + 33a = 55a + -9 Reorder the terms: 1 + 33a = -9 + 55a Solving 1 + 33a = -9 + 55a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-55a' to each side of the equation. 1 + 33a + -55a = -9 + 55a + -55a Combine like terms: 33a + -55a = -22a 1 + -22a = -9 + 55a + -55a Combine like terms: 55a + -55a = 0 1 + -22a = -9 + 0 1 + -22a = -9 Add '-1' to each side of the equation. 1 + -1 + -22a = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -22a = -9 + -1 -22a = -9 + -1 Combine like terms: -9 + -1 = -10 -22a = -10 Divide each side by '-22'. a = 0.4545454545 Simplifying a = 0.4545454545
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