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Simplifying 2(3a + -4b) + -6(2a + 5b) = 0 (3a * 2 + -4b * 2) + -6(2a + 5b) = 0 (6a + -8b) + -6(2a + 5b) = 0 6a + -8b + (2a * -6 + 5b * -6) = 0 6a + -8b + (-12a + -30b) = 0 Reorder the terms: 6a + -12a + -8b + -30b = 0 Combine like terms: 6a + -12a = -6a -6a + -8b + -30b = 0 Combine like terms: -8b + -30b = -38b -6a + -38b = 0 Solving -6a + -38b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '38b' to each side of the equation. -6a + -38b + 38b = 0 + 38b Combine like terms: -38b + 38b = 0 -6a + 0 = 0 + 38b -6a = 0 + 38b Remove the zero: -6a = 38b Divide each side by '-6'. a = -6.333333333b Simplifying a = -6.333333333b
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