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Simplifying 2(a + 3b + 2c + -6) = 0 Reorder the terms: 2(-6 + a + 3b + 2c) = 0 (-6 * 2 + a * 2 + 3b * 2 + 2c * 2) = 0 (-12 + 2a + 6b + 4c) = 0 Solving -12 + 2a + 6b + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2a + 6b + 12 + 4c = 0 + 12 Reorder the terms: -12 + 12 + 2a + 6b + 4c = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2a + 6b + 4c = 0 + 12 2a + 6b + 4c = 0 + 12 Combine like terms: 0 + 12 = 12 2a + 6b + 4c = 12 Add '-6b' to each side of the equation. 2a + 6b + -6b + 4c = 12 + -6b Combine like terms: 6b + -6b = 0 2a + 0 + 4c = 12 + -6b 2a + 4c = 12 + -6b Add '-4c' to each side of the equation. 2a + 4c + -4c = 12 + -6b + -4c Combine like terms: 4c + -4c = 0 2a + 0 = 12 + -6b + -4c 2a = 12 + -6b + -4c Divide each side by '2'. a = 6 + -3b + -2c Simplifying a = 6 + -3b + -2c
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