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Simplifying 4a + 3b + 5c + 6d = 12 Solving 4a + 3b + 5c + 6d = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 4a + 3b + 5c + -3b + 6d = 12 + -3b Reorder the terms: 4a + 3b + -3b + 5c + 6d = 12 + -3b Combine like terms: 3b + -3b = 0 4a + 0 + 5c + 6d = 12 + -3b 4a + 5c + 6d = 12 + -3b Add '-5c' to each side of the equation. 4a + 5c + -5c + 6d = 12 + -3b + -5c Combine like terms: 5c + -5c = 0 4a + 0 + 6d = 12 + -3b + -5c 4a + 6d = 12 + -3b + -5c Add '-6d' to each side of the equation. 4a + 6d + -6d = 12 + -3b + -5c + -6d Combine like terms: 6d + -6d = 0 4a + 0 = 12 + -3b + -5c + -6d 4a = 12 + -3b + -5c + -6d Divide each side by '4'. a = 3 + -0.75b + -1.25c + -1.5d Simplifying a = 3 + -0.75b + -1.25c + -1.5d
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