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Simplifying 12 + -5a + 3b + a = 0 Reorder the terms: 12 + -5a + a + 3b = 0 Combine like terms: -5a + a = -4a 12 + -4a + 3b = 0 Solving 12 + -4a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -4a + -12 + 3b = 0 + -12 Reorder the terms: 12 + -12 + -4a + 3b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4a + 3b = 0 + -12 -4a + 3b = 0 + -12 Combine like terms: 0 + -12 = -12 -4a + 3b = -12 Add '-3b' to each side of the equation. -4a + 3b + -3b = -12 + -3b Combine like terms: 3b + -3b = 0 -4a + 0 = -12 + -3b -4a = -12 + -3b Divide each side by '-4'. a = 3 + 0.75b Simplifying a = 3 + 0.75b
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