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Simplifying 5(2a + b + 3c) = 0 (2a * 5 + b * 5 + 3c * 5) = 0 (10a + 5b + 15c) = 0 Solving 10a + 5b + 15c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 10a + 5b + -5b + 15c = 0 + -5b Combine like terms: 5b + -5b = 0 10a + 0 + 15c = 0 + -5b 10a + 15c = 0 + -5b Remove the zero: 10a + 15c = -5b Add '-15c' to each side of the equation. 10a + 15c + -15c = -5b + -15c Combine like terms: 15c + -15c = 0 10a + 0 = -5b + -15c 10a = -5b + -15c Divide each side by '10'. a = -0.5b + -1.5c Simplifying a = -0.5b + -1.5c
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