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Simplifying 5a + -7b + 3 + -1a + 4b + -9 = 0 Reorder the terms: 3 + -9 + 5a + -1a + -7b + 4b = 0 Combine like terms: 3 + -9 = -6 -6 + 5a + -1a + -7b + 4b = 0 Combine like terms: 5a + -1a = 4a -6 + 4a + -7b + 4b = 0 Combine like terms: -7b + 4b = -3b -6 + 4a + -3b = 0 Solving -6 + 4a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 4a + 6 + -3b = 0 + 6 Reorder the terms: -6 + 6 + 4a + -3b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4a + -3b = 0 + 6 4a + -3b = 0 + 6 Combine like terms: 0 + 6 = 6 4a + -3b = 6 Add '3b' to each side of the equation. 4a + -3b + 3b = 6 + 3b Combine like terms: -3b + 3b = 0 4a + 0 = 6 + 3b 4a = 6 + 3b Divide each side by '4'. a = 1.5 + 0.75b Simplifying a = 1.5 + 0.75b
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