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Simplifying 4a + -2b + 9a + -4 + 7a + 3 = 0 Reorder the terms: -4 + 3 + 4a + 9a + 7a + -2b = 0 Combine like terms: -4 + 3 = -1 -1 + 4a + 9a + 7a + -2b = 0 Combine like terms: 4a + 9a = 13a -1 + 13a + 7a + -2b = 0 Combine like terms: 13a + 7a = 20a -1 + 20a + -2b = 0 Solving -1 + 20a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 20a + 1 + -2b = 0 + 1 Reorder the terms: -1 + 1 + 20a + -2b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 20a + -2b = 0 + 1 20a + -2b = 0 + 1 Combine like terms: 0 + 1 = 1 20a + -2b = 1 Add '2b' to each side of the equation. 20a + -2b + 2b = 1 + 2b Combine like terms: -2b + 2b = 0 20a + 0 = 1 + 2b 20a = 1 + 2b Divide each side by '20'. a = 0.05 + 0.1b Simplifying a = 0.05 + 0.1b
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