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Simplifying (7a + 4b + -7) + (-12a + -9b + 3) = 0 Reorder the terms: (-7 + 7a + 4b) + (-12a + -9b + 3) = 0 Remove parenthesis around (-7 + 7a + 4b) -7 + 7a + 4b + (-12a + -9b + 3) = 0 Reorder the terms: -7 + 7a + 4b + (3 + -12a + -9b) = 0 Remove parenthesis around (3 + -12a + -9b) -7 + 7a + 4b + 3 + -12a + -9b = 0 Reorder the terms: -7 + 3 + 7a + -12a + 4b + -9b = 0 Combine like terms: -7 + 3 = -4 -4 + 7a + -12a + 4b + -9b = 0 Combine like terms: 7a + -12a = -5a -4 + -5a + 4b + -9b = 0 Combine like terms: 4b + -9b = -5b -4 + -5a + -5b = 0 Solving -4 + -5a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -5a + 4 + -5b = 0 + 4 Reorder the terms: -4 + 4 + -5a + -5b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5a + -5b = 0 + 4 -5a + -5b = 0 + 4 Combine like terms: 0 + 4 = 4 -5a + -5b = 4 Add '5b' to each side of the equation. -5a + -5b + 5b = 4 + 5b Combine like terms: -5b + 5b = 0 -5a + 0 = 4 + 5b -5a = 4 + 5b Divide each side by '-5'. a = -0.8 + -1b Simplifying a = -0.8 + -1b
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