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Simplifying 15a + -9a + 7 + -4a + 5b + -9 = 0 Reorder the terms: 7 + -9 + 15a + -9a + -4a + 5b = 0 Combine like terms: 7 + -9 = -2 -2 + 15a + -9a + -4a + 5b = 0 Combine like terms: 15a + -9a = 6a -2 + 6a + -4a + 5b = 0 Combine like terms: 6a + -4a = 2a -2 + 2a + 5b = 0 Solving -2 + 2a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2a + 2 + 5b = 0 + 2 Reorder the terms: -2 + 2 + 2a + 5b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2a + 5b = 0 + 2 2a + 5b = 0 + 2 Combine like terms: 0 + 2 = 2 2a + 5b = 2 Add '-5b' to each side of the equation. 2a + 5b + -5b = 2 + -5b Combine like terms: 5b + -5b = 0 2a + 0 = 2 + -5b 2a = 2 + -5b Divide each side by '2'. a = 1 + -2.5b Simplifying a = 1 + -2.5b
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