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Simplifying 12 = 10a + 6b + 2c Solving 12 = 10a + 6b + 2c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 12 + -10a = 10a + 6b + -10a + 2c Reorder the terms: 12 + -10a = 10a + -10a + 6b + 2c Combine like terms: 10a + -10a = 0 12 + -10a = 0 + 6b + 2c 12 + -10a = 6b + 2c Add '-12' to each side of the equation. 12 + -12 + -10a = 6b + -12 + 2c Combine like terms: 12 + -12 = 0 0 + -10a = 6b + -12 + 2c -10a = 6b + -12 + 2c Reorder the terms: -10a = -12 + 6b + 2c Divide each side by '-10'. a = 1.2 + -0.6b + -0.2c Simplifying a = 1.2 + -0.6b + -0.2c
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