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Simplifying 5(4a + 3b) + -1(2a + 3b) = 0 (4a * 5 + 3b * 5) + -1(2a + 3b) = 0 (20a + 15b) + -1(2a + 3b) = 0 20a + 15b + (2a * -1 + 3b * -1) = 0 20a + 15b + (-2a + -3b) = 0 Reorder the terms: 20a + -2a + 15b + -3b = 0 Combine like terms: 20a + -2a = 18a 18a + 15b + -3b = 0 Combine like terms: 15b + -3b = 12b 18a + 12b = 0 Solving 18a + 12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 18a + 12b + -12b = 0 + -12b Combine like terms: 12b + -12b = 0 18a + 0 = 0 + -12b 18a = 0 + -12b Remove the zero: 18a = -12b Divide each side by '18'. a = -0.6666666667b Simplifying a = -0.6666666667b
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