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Simplifying 16a + -1[3a + -4(6 + -9a)] = 3a + [-1(3a + 2) + -2(a + 3)] 16a + -1[3a + (6 * -4 + -9a * -4)] = 3a + [-1(3a + 2) + -2(a + 3)] 16a + -1[3a + (-24 + 36a)] = 3a + [-1(3a + 2) + -2(a + 3)] Reorder the terms: 16a + -1[-24 + 3a + 36a] = 3a + [-1(3a + 2) + -2(a + 3)] Combine like terms: 3a + 36a = 39a 16a + -1[-24 + 39a] = 3a + [-1(3a + 2) + -2(a + 3)] 16a + [-24 * -1 + 39a * -1] = 3a + [-1(3a + 2) + -2(a + 3)] 16a + [24 + -39a] = 3a + [-1(3a + 2) + -2(a + 3)] Reorder the terms: 24 + 16a + -39a = 3a + [-1(3a + 2) + -2(a + 3)] Combine like terms: 16a + -39a = -23a 24 + -23a = 3a + [-1(3a + 2) + -2(a + 3)] Reorder the terms: 24 + -23a = 3a + [-1(2 + 3a) + -2(a + 3)] 24 + -23a = 3a + [(2 * -1 + 3a * -1) + -2(a + 3)] 24 + -23a = 3a + [(-2 + -3a) + -2(a + 3)] Reorder the terms: 24 + -23a = 3a + [-2 + -3a + -2(3 + a)] 24 + -23a = 3a + [-2 + -3a + (3 * -2 + a * -2)] 24 + -23a = 3a + [-2 + -3a + (-6 + -2a)] Reorder the terms: 24 + -23a = 3a + [-2 + -6 + -3a + -2a] Combine like terms: -2 + -6 = -8 24 + -23a = 3a + [-8 + -3a + -2a] Combine like terms: -3a + -2a = -5a 24 + -23a = 3a + [-8 + -5a] Remove brackets around [-8 + -5a] 24 + -23a = 3a + -8 + -5a Reorder the terms: 24 + -23a = -8 + 3a + -5a Combine like terms: 3a + -5a = -2a 24 + -23a = -8 + -2a Solving 24 + -23a = -8 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 24 + -23a + 2a = -8 + -2a + 2a Combine like terms: -23a + 2a = -21a 24 + -21a = -8 + -2a + 2a Combine like terms: -2a + 2a = 0 24 + -21a = -8 + 0 24 + -21a = -8 Add '-24' to each side of the equation. 24 + -24 + -21a = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -21a = -8 + -24 -21a = -8 + -24 Combine like terms: -8 + -24 = -32 -21a = -32 Divide each side by '-21'. a = 1.523809524 Simplifying a = 1.523809524
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