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Simplifying 7(2a + 3b + 2c) = 0 (2a * 7 + 3b * 7 + 2c * 7) = 0 (14a + 21b + 14c) = 0 Solving 14a + 21b + 14c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21b' to each side of the equation. 14a + 21b + -21b + 14c = 0 + -21b Combine like terms: 21b + -21b = 0 14a + 0 + 14c = 0 + -21b 14a + 14c = 0 + -21b Remove the zero: 14a + 14c = -21b Add '-14c' to each side of the equation. 14a + 14c + -14c = -21b + -14c Combine like terms: 14c + -14c = 0 14a + 0 = -21b + -14c 14a = -21b + -14c Divide each side by '14'. a = -1.5b + -1c Simplifying a = -1.5b + -1c
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