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Simplifying -4(6a + 5b + -14c) + 4b = 0 (6a * -4 + 5b * -4 + -14c * -4) + 4b = 0 (-24a + -20b + 56c) + 4b = 0 Reorder the terms: -24a + -20b + 4b + 56c = 0 Combine like terms: -20b + 4b = -16b -24a + -16b + 56c = 0 Solving -24a + -16b + 56c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16b' to each side of the equation. -24a + -16b + 16b + 56c = 0 + 16b Combine like terms: -16b + 16b = 0 -24a + 0 + 56c = 0 + 16b -24a + 56c = 0 + 16b Remove the zero: -24a + 56c = 16b Add '-56c' to each side of the equation. -24a + 56c + -56c = 16b + -56c Combine like terms: 56c + -56c = 0 -24a + 0 = 16b + -56c -24a = 16b + -56c Divide each side by '-24'. a = -0.6666666667b + 2.333333333c Simplifying a = -0.6666666667b + 2.333333333c
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