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Simplifying 5a + -3b + 12 + -1a + 3 + -14b = 0 Reorder the terms: 12 + 3 + 5a + -1a + -3b + -14b = 0 Combine like terms: 12 + 3 = 15 15 + 5a + -1a + -3b + -14b = 0 Combine like terms: 5a + -1a = 4a 15 + 4a + -3b + -14b = 0 Combine like terms: -3b + -14b = -17b 15 + 4a + -17b = 0 Solving 15 + 4a + -17b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 4a + -15 + -17b = 0 + -15 Reorder the terms: 15 + -15 + 4a + -17b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4a + -17b = 0 + -15 4a + -17b = 0 + -15 Combine like terms: 0 + -15 = -15 4a + -17b = -15 Add '17b' to each side of the equation. 4a + -17b + 17b = -15 + 17b Combine like terms: -17b + 17b = 0 4a + 0 = -15 + 17b 4a = -15 + 17b Divide each side by '4'. a = -3.75 + 4.25b Simplifying a = -3.75 + 4.25b
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