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Simplifying -5(3a + 2b + -6c) = 0 (3a * -5 + 2b * -5 + -6c * -5) = 0 (-15a + -10b + 30c) = 0 Solving -15a + -10b + 30c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. -15a + -10b + 10b + 30c = 0 + 10b Combine like terms: -10b + 10b = 0 -15a + 0 + 30c = 0 + 10b -15a + 30c = 0 + 10b Remove the zero: -15a + 30c = 10b Add '-30c' to each side of the equation. -15a + 30c + -30c = 10b + -30c Combine like terms: 30c + -30c = 0 -15a + 0 = 10b + -30c -15a = 10b + -30c Divide each side by '-15'. a = -0.6666666667b + 2c Simplifying a = -0.6666666667b + 2c
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