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Simplifying 6(7a + -5) + -1[3(4a + -3) + 3] = 0 Reorder the terms: 6(-5 + 7a) + -1[3(4a + -3) + 3] = 0 (-5 * 6 + 7a * 6) + -1[3(4a + -3) + 3] = 0 (-30 + 42a) + -1[3(4a + -3) + 3] = 0 Reorder the terms: -30 + 42a + -1[3(-3 + 4a) + 3] = 0 -30 + 42a + -1[(-3 * 3 + 4a * 3) + 3] = 0 -30 + 42a + -1[(-9 + 12a) + 3] = 0 Reorder the terms: -30 + 42a + -1[-9 + 3 + 12a] = 0 Combine like terms: -9 + 3 = -6 -30 + 42a + -1[-6 + 12a] = 0 -30 + 42a + [-6 * -1 + 12a * -1] = 0 -30 + 42a + [6 + -12a] = 0 Reorder the terms: -30 + 6 + 42a + -12a = 0 Combine like terms: -30 + 6 = -24 -24 + 42a + -12a = 0 Combine like terms: 42a + -12a = 30a -24 + 30a = 0 Solving -24 + 30a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 30a = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 30a = 0 + 24 30a = 0 + 24 Combine like terms: 0 + 24 = 24 30a = 24 Divide each side by '30'. a = 0.8 Simplifying a = 0.8
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