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Simplifying (3a + -4b) + (-12a + -6b) = 0 Remove parenthesis around (3a + -4b) 3a + -4b + (-12a + -6b) = 0 Remove parenthesis around (-12a + -6b) 3a + -4b + -12a + -6b = 0 Reorder the terms: 3a + -12a + -4b + -6b = 0 Combine like terms: 3a + -12a = -9a -9a + -4b + -6b = 0 Combine like terms: -4b + -6b = -10b -9a + -10b = 0 Solving -9a + -10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. -9a + -10b + 10b = 0 + 10b Combine like terms: -10b + 10b = 0 -9a + 0 = 0 + 10b -9a = 0 + 10b Remove the zero: -9a = 10b Divide each side by '-9'. a = -1.111111111b Simplifying a = -1.111111111b
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