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Simplifying 3[2a + 5(a + -1)] + -6 = 9 Reorder the terms: 3[2a + 5(-1 + a)] + -6 = 9 3[2a + (-1 * 5 + a * 5)] + -6 = 9 3[2a + (-5 + 5a)] + -6 = 9 Reorder the terms: 3[-5 + 2a + 5a] + -6 = 9 Combine like terms: 2a + 5a = 7a 3[-5 + 7a] + -6 = 9 [-5 * 3 + 7a * 3] + -6 = 9 [-15 + 21a] + -6 = 9 Reorder the terms: -15 + -6 + 21a = 9 Combine like terms: -15 + -6 = -21 -21 + 21a = 9 Solving -21 + 21a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 21a = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 21a = 9 + 21 21a = 9 + 21 Combine like terms: 9 + 21 = 30 21a = 30 Divide each side by '21'. a = 1.428571429 Simplifying a = 1.428571429
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