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Simplifying 5(9a + -4) + -1[3(5a + -3) + 1] = 0 Reorder the terms: 5(-4 + 9a) + -1[3(5a + -3) + 1] = 0 (-4 * 5 + 9a * 5) + -1[3(5a + -3) + 1] = 0 (-20 + 45a) + -1[3(5a + -3) + 1] = 0 Reorder the terms: -20 + 45a + -1[3(-3 + 5a) + 1] = 0 -20 + 45a + -1[(-3 * 3 + 5a * 3) + 1] = 0 -20 + 45a + -1[(-9 + 15a) + 1] = 0 Reorder the terms: -20 + 45a + -1[-9 + 1 + 15a] = 0 Combine like terms: -9 + 1 = -8 -20 + 45a + -1[-8 + 15a] = 0 -20 + 45a + [-8 * -1 + 15a * -1] = 0 -20 + 45a + [8 + -15a] = 0 Reorder the terms: -20 + 8 + 45a + -15a = 0 Combine like terms: -20 + 8 = -12 -12 + 45a + -15a = 0 Combine like terms: 45a + -15a = 30a -12 + 30a = 0 Solving -12 + 30a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 30a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 30a = 0 + 12 30a = 0 + 12 Combine like terms: 0 + 12 = 12 30a = 12 Divide each side by '30'. a = 0.4 Simplifying a = 0.4
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