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Simplifying (2a + 6b) + -1(14a + -11b) = 0 Remove parenthesis around (2a + 6b) 2a + 6b + -1(14a + -11b) = 0 2a + 6b + (14a * -1 + -11b * -1) = 0 2a + 6b + (-14a + 11b) = 0 Reorder the terms: 2a + -14a + 6b + 11b = 0 Combine like terms: 2a + -14a = -12a -12a + 6b + 11b = 0 Combine like terms: 6b + 11b = 17b -12a + 17b = 0 Solving -12a + 17b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17b' to each side of the equation. -12a + 17b + -17b = 0 + -17b Combine like terms: 17b + -17b = 0 -12a + 0 = 0 + -17b -12a = 0 + -17b Remove the zero: -12a = -17b Divide each side by '-12'. a = 1.416666667b Simplifying a = 1.416666667b
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