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Simplifying 7(3a + 2b) + -4(a + 3b) = 0 (3a * 7 + 2b * 7) + -4(a + 3b) = 0 (21a + 14b) + -4(a + 3b) = 0 21a + 14b + (a * -4 + 3b * -4) = 0 21a + 14b + (-4a + -12b) = 0 Reorder the terms: 21a + -4a + 14b + -12b = 0 Combine like terms: 21a + -4a = 17a 17a + 14b + -12b = 0 Combine like terms: 14b + -12b = 2b 17a + 2b = 0 Solving 17a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 17a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 17a + 0 = 0 + -2b 17a = 0 + -2b Remove the zero: 17a = -2b Divide each side by '17'. a = -0.1176470588b Simplifying a = -0.1176470588b
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