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Simplifying 5 + -3[2a + -6(5a + -4) + -7] = 0 Reorder the terms: 5 + -3[2a + -6(-4 + 5a) + -7] = 0 5 + -3[2a + (-4 * -6 + 5a * -6) + -7] = 0 5 + -3[2a + (24 + -30a) + -7] = 0 Reorder the terms: 5 + -3[24 + -7 + 2a + -30a] = 0 Combine like terms: 24 + -7 = 17 5 + -3[17 + 2a + -30a] = 0 Combine like terms: 2a + -30a = -28a 5 + -3[17 + -28a] = 0 5 + [17 * -3 + -28a * -3] = 0 5 + [-51 + 84a] = 0 Combine like terms: 5 + -51 = -46 -46 + 84a = 0 Solving -46 + 84a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 84a = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 84a = 0 + 46 84a = 0 + 46 Combine like terms: 0 + 46 = 46 84a = 46 Divide each side by '84'. a = 0.5476190476 Simplifying a = 0.5476190476
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