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Simplifying 9(6 + a) + 33a = 10a (6 * 9 + a * 9) + 33a = 10a (54 + 9a) + 33a = 10a Combine like terms: 9a + 33a = 42a 54 + 42a = 10a Solving 54 + 42a = 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 54 + 42a + -10a = 10a + -10a Combine like terms: 42a + -10a = 32a 54 + 32a = 10a + -10a Combine like terms: 10a + -10a = 0 54 + 32a = 0 Add '-54' to each side of the equation. 54 + -54 + 32a = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 32a = 0 + -54 32a = 0 + -54 Combine like terms: 0 + -54 = -54 32a = -54 Divide each side by '32'. a = -1.6875 Simplifying a = -1.6875
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