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Simplifying 2a + 3(a + -4b) + 7b + -9 = 0 2a + (a * 3 + -4b * 3) + 7b + -9 = 0 2a + (3a + -12b) + 7b + -9 = 0 Reorder the terms: -9 + 2a + 3a + -12b + 7b = 0 Combine like terms: 2a + 3a = 5a -9 + 5a + -12b + 7b = 0 Combine like terms: -12b + 7b = -5b -9 + 5a + -5b = 0 Solving -9 + 5a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 5a + 9 + -5b = 0 + 9 Reorder the terms: -9 + 9 + 5a + -5b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5a + -5b = 0 + 9 5a + -5b = 0 + 9 Combine like terms: 0 + 9 = 9 5a + -5b = 9 Add '5b' to each side of the equation. 5a + -5b + 5b = 9 + 5b Combine like terms: -5b + 5b = 0 5a + 0 = 9 + 5b 5a = 9 + 5b Divide each side by '5'. a = 1.8 + b Simplifying a = 1.8 + b
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