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Simplifying 5(4a + -1b) + -4(6b + -7a) = 0 (4a * 5 + -1b * 5) + -4(6b + -7a) = 0 (20a + -5b) + -4(6b + -7a) = 0 Reorder the terms: 20a + -5b + -4(-7a + 6b) = 0 20a + -5b + (-7a * -4 + 6b * -4) = 0 20a + -5b + (28a + -24b) = 0 Reorder the terms: 20a + 28a + -5b + -24b = 0 Combine like terms: 20a + 28a = 48a 48a + -5b + -24b = 0 Combine like terms: -5b + -24b = -29b 48a + -29b = 0 Solving 48a + -29b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '29b' to each side of the equation. 48a + -29b + 29b = 0 + 29b Combine like terms: -29b + 29b = 0 48a + 0 = 0 + 29b 48a = 0 + 29b Remove the zero: 48a = 29b Divide each side by '48'. a = 0.6041666667b Simplifying a = 0.6041666667b
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