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Simplifying 3a + 12b + 1c = 15 Solving 3a + 12b + 1c = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 3a + 12b + -12b + 1c = 15 + -12b Combine like terms: 12b + -12b = 0 3a + 0 + 1c = 15 + -12b 3a + 1c = 15 + -12b Add '-1c' to each side of the equation. 3a + 1c + -1c = 15 + -12b + -1c Combine like terms: 1c + -1c = 0 3a + 0 = 15 + -12b + -1c 3a = 15 + -12b + -1c Divide each side by '3'. a = 5 + -4b + -0.3333333333c Simplifying a = 5 + -4b + -0.3333333333c
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