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Simplifying 5(4a + -3b) + 2(a + -3b) = 0 (4a * 5 + -3b * 5) + 2(a + -3b) = 0 (20a + -15b) + 2(a + -3b) = 0 20a + -15b + (a * 2 + -3b * 2) = 0 20a + -15b + (2a + -6b) = 0 Reorder the terms: 20a + 2a + -15b + -6b = 0 Combine like terms: 20a + 2a = 22a 22a + -15b + -6b = 0 Combine like terms: -15b + -6b = -21b 22a + -21b = 0 Solving 22a + -21b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21b' to each side of the equation. 22a + -21b + 21b = 0 + 21b Combine like terms: -21b + 21b = 0 22a + 0 = 0 + 21b 22a = 0 + 21b Remove the zero: 22a = 21b Divide each side by '22'. a = 0.9545454545b Simplifying a = 0.9545454545b
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