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Simplifying 5(-3(6a + -2(5a + -4 + 6b)) + -3a) + a = 0 Reorder the terms: 5(-3(6a + -2(-4 + 5a + 6b)) + -3a) + a = 0 5(-3(6a + (-4 * -2 + 5a * -2 + 6b * -2)) + -3a) + a = 0 5(-3(6a + (8 + -10a + -12b)) + -3a) + a = 0 Reorder the terms: 5(-3(8 + 6a + -10a + -12b) + -3a) + a = 0 Combine like terms: 6a + -10a = -4a 5(-3(8 + -4a + -12b) + -3a) + a = 0 5((8 * -3 + -4a * -3 + -12b * -3) + -3a) + a = 0 5((-24 + 12a + 36b) + -3a) + a = 0 Reorder the terms: 5(-24 + 12a + -3a + 36b) + a = 0 Combine like terms: 12a + -3a = 9a 5(-24 + 9a + 36b) + a = 0 (-24 * 5 + 9a * 5 + 36b * 5) + a = 0 (-120 + 45a + 180b) + a = 0 Reorder the terms: -120 + 45a + a + 180b = 0 Combine like terms: 45a + a = 46a -120 + 46a + 180b = 0 Solving -120 + 46a + 180b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 46a + 120 + 180b = 0 + 120 Reorder the terms: -120 + 120 + 46a + 180b = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 46a + 180b = 0 + 120 46a + 180b = 0 + 120 Combine like terms: 0 + 120 = 120 46a + 180b = 120 Add '-180b' to each side of the equation. 46a + 180b + -180b = 120 + -180b Combine like terms: 180b + -180b = 0 46a + 0 = 120 + -180b 46a = 120 + -180b Divide each side by '46'. a = 2.608695652 + -3.913043478b Simplifying a = 2.608695652 + -3.913043478b
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