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Simplifying 4a + 5b + 6c = 75 Solving 4a + 5b + 6c = 75 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 4a + 5b + -5b + 6c = 75 + -5b Combine like terms: 5b + -5b = 0 4a + 0 + 6c = 75 + -5b 4a + 6c = 75 + -5b Add '-6c' to each side of the equation. 4a + 6c + -6c = 75 + -5b + -6c Combine like terms: 6c + -6c = 0 4a + 0 = 75 + -5b + -6c 4a = 75 + -5b + -6c Divide each side by '4'. a = 18.75 + -1.25b + -1.5c Simplifying a = 18.75 + -1.25b + -1.5c
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