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Simplifying 3(a + 6) = 33a + 3b Reorder the terms: 3(6 + a) = 33a + 3b (6 * 3 + a * 3) = 33a + 3b (18 + 3a) = 33a + 3b Solving 18 + 3a = 33a + 3b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-33a' to each side of the equation. 18 + 3a + -33a = 33a + -33a + 3b Combine like terms: 3a + -33a = -30a 18 + -30a = 33a + -33a + 3b Combine like terms: 33a + -33a = 0 18 + -30a = 0 + 3b 18 + -30a = 3b Add '-18' to each side of the equation. 18 + -18 + -30a = -18 + 3b Combine like terms: 18 + -18 = 0 0 + -30a = -18 + 3b -30a = -18 + 3b Divide each side by '-30'. a = 0.6 + -0.1b Simplifying a = 0.6 + -0.1b
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