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Simplifying (9a + 6b + -7) + (-12a + -5b + 2) = 0 Reorder the terms: (-7 + 9a + 6b) + (-12a + -5b + 2) = 0 Remove parenthesis around (-7 + 9a + 6b) -7 + 9a + 6b + (-12a + -5b + 2) = 0 Reorder the terms: -7 + 9a + 6b + (2 + -12a + -5b) = 0 Remove parenthesis around (2 + -12a + -5b) -7 + 9a + 6b + 2 + -12a + -5b = 0 Reorder the terms: -7 + 2 + 9a + -12a + 6b + -5b = 0 Combine like terms: -7 + 2 = -5 -5 + 9a + -12a + 6b + -5b = 0 Combine like terms: 9a + -12a = -3a -5 + -3a + 6b + -5b = 0 Combine like terms: 6b + -5b = 1b -5 + -3a + 1b = 0 Solving -5 + -3a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -3a + 5 + 1b = 0 + 5 Reorder the terms: -5 + 5 + -3a + 1b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3a + 1b = 0 + 5 -3a + 1b = 0 + 5 Combine like terms: 0 + 5 = 5 -3a + 1b = 5 Add '-1b' to each side of the equation. -3a + 1b + -1b = 5 + -1b Combine like terms: 1b + -1b = 0 -3a + 0 = 5 + -1b -3a = 5 + -1b Divide each side by '-3'. a = -1.666666667 + 0.3333333333b Simplifying a = -1.666666667 + 0.3333333333b
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