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Simplifying 6a + 3[5 + -2(a + 4)] = 3a + -3 Reorder the terms: 6a + 3[5 + -2(4 + a)] = 3a + -3 6a + 3[5 + (4 * -2 + a * -2)] = 3a + -3 6a + 3[5 + (-8 + -2a)] = 3a + -3 Combine like terms: 5 + -8 = -3 6a + 3[-3 + -2a] = 3a + -3 6a + [-3 * 3 + -2a * 3] = 3a + -3 6a + [-9 + -6a] = 3a + -3 Reorder the terms: -9 + 6a + -6a = 3a + -3 Combine like terms: 6a + -6a = 0 -9 + 0 = 3a + -3 -9 = 3a + -3 Reorder the terms: -9 = -3 + 3a Solving -9 = -3 + 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. -9 + -3a = -3 + 3a + -3a Combine like terms: 3a + -3a = 0 -9 + -3a = -3 + 0 -9 + -3a = -3 Add '9' to each side of the equation. -9 + 9 + -3a = -3 + 9 Combine like terms: -9 + 9 = 0 0 + -3a = -3 + 9 -3a = -3 + 9 Combine like terms: -3 + 9 = 6 -3a = 6 Divide each side by '-3'. a = -2 Simplifying a = -2
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