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Simplifying 4(5a + -2b) + a + -6 = 0 (5a * 4 + -2b * 4) + a + -6 = 0 (20a + -8b) + a + -6 = 0 Reorder the terms: -6 + 20a + a + -8b = 0 Combine like terms: 20a + a = 21a -6 + 21a + -8b = 0 Solving -6 + 21a + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 21a + 6 + -8b = 0 + 6 Reorder the terms: -6 + 6 + 21a + -8b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 21a + -8b = 0 + 6 21a + -8b = 0 + 6 Combine like terms: 0 + 6 = 6 21a + -8b = 6 Add '8b' to each side of the equation. 21a + -8b + 8b = 6 + 8b Combine like terms: -8b + 8b = 0 21a + 0 = 6 + 8b 21a = 6 + 8b Divide each side by '21'. a = 0.2857142857 + 0.380952381b Simplifying a = 0.2857142857 + 0.380952381b
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