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Simplifying 3(2a + -5b) + -4(2a + -1b) = 0 (2a * 3 + -5b * 3) + -4(2a + -1b) = 0 (6a + -15b) + -4(2a + -1b) = 0 6a + -15b + (2a * -4 + -1b * -4) = 0 6a + -15b + (-8a + 4b) = 0 Reorder the terms: 6a + -8a + -15b + 4b = 0 Combine like terms: 6a + -8a = -2a -2a + -15b + 4b = 0 Combine like terms: -15b + 4b = -11b -2a + -11b = 0 Solving -2a + -11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11b' to each side of the equation. -2a + -11b + 11b = 0 + 11b Combine like terms: -11b + 11b = 0 -2a + 0 = 0 + 11b -2a = 0 + 11b Remove the zero: -2a = 11b Divide each side by '-2'. a = -5.5b Simplifying a = -5.5b
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