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Simplifying 5(2a + 3b + 4c) = 0 (2a * 5 + 3b * 5 + 4c * 5) = 0 (10a + 15b + 20c) = 0 Solving 10a + 15b + 20c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. 10a + 15b + -15b + 20c = 0 + -15b Combine like terms: 15b + -15b = 0 10a + 0 + 20c = 0 + -15b 10a + 20c = 0 + -15b Remove the zero: 10a + 20c = -15b Add '-20c' to each side of the equation. 10a + 20c + -20c = -15b + -20c Combine like terms: 20c + -20c = 0 10a + 0 = -15b + -20c 10a = -15b + -20c Divide each side by '10'. a = -1.5b + -2c Simplifying a = -1.5b + -2c
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