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Simplifying 3(9a) + -39 = 21a + -6(2 + 4a) Remove parenthesis around (9a) 3 * 9a + -39 = 21a + -6(2 + 4a) Multiply 3 * 9 27a + -39 = 21a + -6(2 + 4a) Reorder the terms: -39 + 27a = 21a + -6(2 + 4a) -39 + 27a = 21a + (2 * -6 + 4a * -6) -39 + 27a = 21a + (-12 + -24a) Reorder the terms: -39 + 27a = -12 + 21a + -24a Combine like terms: 21a + -24a = -3a -39 + 27a = -12 + -3a Solving -39 + 27a = -12 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -39 + 27a + 3a = -12 + -3a + 3a Combine like terms: 27a + 3a = 30a -39 + 30a = -12 + -3a + 3a Combine like terms: -3a + 3a = 0 -39 + 30a = -12 + 0 -39 + 30a = -12 Add '39' to each side of the equation. -39 + 39 + 30a = -12 + 39 Combine like terms: -39 + 39 = 0 0 + 30a = -12 + 39 30a = -12 + 39 Combine like terms: -12 + 39 = 27 30a = 27 Divide each side by '30'. a = 0.9 Simplifying a = 0.9
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