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Simplifying 12 = 2a + 6b + -10c Solving 12 = 2a + 6b + -10c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 12 + -2a = 2a + 6b + -2a + -10c Reorder the terms: 12 + -2a = 2a + -2a + 6b + -10c Combine like terms: 2a + -2a = 0 12 + -2a = 0 + 6b + -10c 12 + -2a = 6b + -10c Add '-12' to each side of the equation. 12 + -12 + -2a = 6b + -12 + -10c Combine like terms: 12 + -12 = 0 0 + -2a = 6b + -12 + -10c -2a = 6b + -12 + -10c Reorder the terms: -2a = -12 + 6b + -10c Divide each side by '-2'. a = 6 + -3b + 5c Simplifying a = 6 + -3b + 5c
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