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Simplifying 6(8a + -1b) + -4(4b + -7a) = 0 (8a * 6 + -1b * 6) + -4(4b + -7a) = 0 (48a + -6b) + -4(4b + -7a) = 0 Reorder the terms: 48a + -6b + -4(-7a + 4b) = 0 48a + -6b + (-7a * -4 + 4b * -4) = 0 48a + -6b + (28a + -16b) = 0 Reorder the terms: 48a + 28a + -6b + -16b = 0 Combine like terms: 48a + 28a = 76a 76a + -6b + -16b = 0 Combine like terms: -6b + -16b = -22b 76a + -22b = 0 Solving 76a + -22b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22b' to each side of the equation. 76a + -22b + 22b = 0 + 22b Combine like terms: -22b + 22b = 0 76a + 0 = 0 + 22b 76a = 0 + 22b Remove the zero: 76a = 22b Divide each side by '76'. a = 0.2894736842b Simplifying a = 0.2894736842b
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