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Simplifying -3(9a + -4) = 21 + -5a Reorder the terms: -3(-4 + 9a) = 21 + -5a (-4 * -3 + 9a * -3) = 21 + -5a (12 + -27a) = 21 + -5a Solving 12 + -27a = 21 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 12 + -27a + 5a = 21 + -5a + 5a Combine like terms: -27a + 5a = -22a 12 + -22a = 21 + -5a + 5a Combine like terms: -5a + 5a = 0 12 + -22a = 21 + 0 12 + -22a = 21 Add '-12' to each side of the equation. 12 + -12 + -22a = 21 + -12 Combine like terms: 12 + -12 = 0 0 + -22a = 21 + -12 -22a = 21 + -12 Combine like terms: 21 + -12 = 9 -22a = 9 Divide each side by '-22'. a = -0.4090909091 Simplifying a = -0.4090909091
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