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Simplifying 3(7a + 3) = 4(6a + 2) Reorder the terms: 3(3 + 7a) = 4(6a + 2) (3 * 3 + 7a * 3) = 4(6a + 2) (9 + 21a) = 4(6a + 2) Reorder the terms: 9 + 21a = 4(2 + 6a) 9 + 21a = (2 * 4 + 6a * 4) 9 + 21a = (8 + 24a) Solving 9 + 21a = 8 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 9 + 21a + -24a = 8 + 24a + -24a Combine like terms: 21a + -24a = -3a 9 + -3a = 8 + 24a + -24a Combine like terms: 24a + -24a = 0 9 + -3a = 8 + 0 9 + -3a = 8 Add '-9' to each side of the equation. 9 + -9 + -3a = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -3a = 8 + -9 -3a = 8 + -9 Combine like terms: 8 + -9 = -1 -3a = -1 Divide each side by '-3'. a = 0.3333333333 Simplifying a = 0.3333333333
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